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WavePDE

omega-source-v2-15s.mp4

Overview

WavePDE is a Python project that simulates and animates the wave equation in one or two dimensions. Users can customize various parameters, including domain size, grid resolution, wave speed, boundary conditions, initial conditions, and more.

Features

  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.

Requirements

  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse

Installation

  1. Clone the repository:

    git clone https://github.com/salastro/wavepde.git
cd wavepde

  2. Install the required packages:

    pip install -e .

Usage

Run the script with desired parameters from the command line:

wavepde.py [OPTIONS]

Options

  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is "np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is "np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann). Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations. Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the animation will be displayed instead.

Example

To run a 2D wave simulation with default settings:

wavepde --dim 2

To run a 1D wave simulation with custom initial conditions and save the animation as wave1d.mp4:

wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4

Project Structure

  • src/wavepde/: Main package directory.
    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave equations.
  • main.py: Main script for running the simulations and animations.

Contributing

Contributions are welcome! Please feel free to submit a pull request or open an issue if you have any suggestions or improvements. Remember to follow the Contribution guidelines.

Issues

If you encounter any problems or have any suggestions, please open an issue along with a detailed description.

License

This project is licensed under the MIT License. See the LICENSE file for details.

About

Wave Partial Differential Equation Solver in Python

Resources

Readme
MIT license

Contributing

Contributing
Activity

Stars

15 stars

Watchers

1 watching

Forks

2 forks
Report repository

Used by

Contributors

Languages

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all 
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WavePDE
omega-source-v2-15s.mp4
Overview
WavePDE is a Python project that simulates and animates the wave equation in one
or two dimensions. Users can customize various parameters, including domain
size, grid resolution, wave speed, boundary conditions, initial conditions, and
more.
Features
  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.
Requirements
  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse
Installation
  1. Clone the repository:
    git clone https://github.com/salastro/wavepde.git
cd wavepde
  2. Install the required packages:
    pip install -e .
Usage
Run the script with desired parameters from the command line:
wavepde.py [OPTIONS]
Options
  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is
"np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is
"np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann).
Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations.
Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the
animation will be displayed instead.
Example
To run a 2D wave simulation with default settings:
wavepde --dim 2
To run a 1D wave simulation with custom initial conditions and save the
animation as wave1d.mp4:
wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4
Project Structure
  • src/wavepde/: Main package directory.

    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the
simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave
equations.
  • main.py: Main script for running the simulations and animations.
Contributing
Contributions are welcome! Please feel free to submit a pull request or open an
issue if you have any suggestions or improvements. Remember to follow the
Contribution guidelines.
Issues
If you encounter any problems or have any suggestions, please open an issue
along with a detailed description.
License
This project is licensed under the MIT License. See the LICENSE file
for details.
About
Wave Partial Differential Equation Solver in Python
Resources
Readme
MIT license
Contributing
Contributing
Activity
Stars
15 stars
Watchers
1 watching
Forks
2 forks
Report repository
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix");
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})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
WavePDE
omega-source-v2-15s.mp4
Overview
WavePDE is a Python project that simulates and animates the wave equation in one
or two dimensions. Users can customize various parameters, including domain
size, grid resolution, wave speed, boundary conditions, initial conditions, and
more.
Features
  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.
Requirements
  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse
Installation
  1. Clone the repository:
    git clone https://github.com/salastro/wavepde.git
cd wavepde
  2. Install the required packages:
    pip install -e .
Usage
Run the script with desired parameters from the command line:
wavepde.py [OPTIONS]
Options
  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is
"np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is
"np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann).
Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations.
Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the
animation will be displayed instead.
Example
To run a 2D wave simulation with default settings:
wavepde --dim 2
To run a 1D wave simulation with custom initial conditions and save the
animation as wave1d.mp4:
wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4
Project Structure
  • src/wavepde/: Main package directory.

    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the
simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave
equations.
  • main.py: Main script for running the simulations and animations.
Contributing
Contributions are welcome! Please feel free to submit a pull request or open an
issue if you have any suggestions or improvements. Remember to follow the
Contribution guidelines.
Issues
If you encounter any problems or have any suggestions, please open an issue
along with a detailed description.
License
This project is licensed under the MIT License. See the LICENSE file
for details.
About
Wave Partial Differential Equation Solver in Python
Resources
Readme
MIT license
Contributing
Contributing
Activity
Stars
15 stars
Watchers
1 watching
Forks
2 forks
Report repository
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms");
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
WavePDE
omega-source-v2-15s.mp4
Overview
WavePDE is a Python project that simulates and animates the wave equation in one
or two dimensions. Users can customize various parameters, including domain
size, grid resolution, wave speed, boundary conditions, initial conditions, and
more.
Features
  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.
Requirements
  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse
Installation
  1. Clone the repository:
    git clone https://github.com/salastro/wavepde.git
cd wavepde
  2. Install the required packages:
    pip install -e .
Usage
Run the script with desired parameters from the command line:
wavepde.py [OPTIONS]
Options
  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is
"np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is
"np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann).
Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations.
Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the
animation will be displayed instead.
Example
To run a 2D wave simulation with default settings:
wavepde --dim 2
To run a 1D wave simulation with custom initial conditions and save the
animation as wave1d.mp4:
wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4
Project Structure
  • src/wavepde/: Main package directory.

    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the
simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave
equations.
  • main.py: Main script for running the simulations and animations.
Contributing
Contributions are welcome! Please feel free to submit a pull request or open an
issue if you have any suggestions or improvements. Remember to follow the
Contribution guidelines.
Issues
If you encounter any problems or have any suggestions, please open an issue
along with a detailed description.
License
This project is licensed under the MIT License. See the LICENSE file
for details.
About
Wave Partial Differential Equation Solver in Python
Resources
Readme
MIT license
Contributing
Contributing
Activity
Stars
15 stars
Watchers
1 watching
Forks
2 forks
Report repository
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links");
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '

Skip to content
BranchesTags
Repository files navigation
WavePDE
omega-source-v2-15s.mp4
Overview
WavePDE is a Python project that simulates and animates the wave equation in one
or two dimensions. Users can customize various parameters, including domain
size, grid resolution, wave speed, boundary conditions, initial conditions, and
more.
Features
  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.
Requirements
  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse
Installation
  1. Clone the repository:
    git clone https://github.com/salastro/wavepde.git
cd wavepde
  2. Install the required packages:
    pip install -e .
Usage
Run the script with desired parameters from the command line:
wavepde.py [OPTIONS]
Options
  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is
"np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is
"np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann).
Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations.
Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the
animation will be displayed instead.
Example
To run a 2D wave simulation with default settings:
wavepde --dim 2
To run a 1D wave simulation with custom initial conditions and save the
animation as wave1d.mp4:
wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4
Project Structure
  • src/wavepde/: Main package directory.

    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the
simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave
equations.
  • main.py: Main script for running the simulations and animations.
Contributing
Contributions are welcome! Please feel free to submit a pull request or open an
issue if you have any suggestions or improvements. Remember to follow the
Contribution guidelines.
Issues
If you encounter any problems or have any suggestions, please open an issue
along with a detailed description.
License
This project is licensed under the MIT License. See the LICENSE file
for details.
About
Wave Partial Differential Equation Solver in Python
Resources
Readme
MIT license
Contributing
Contributing
Activity
Stars
15 stars
Watchers
1 watching
Forks
2 forks
Report repository
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default");
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
Repository files navigation
WavePDE
omega-source-v2-15s.mp4
Overview
WavePDE is a Python project that simulates and animates the wave equation in one
or two dimensions. Users can customize various parameters, including domain
size, grid resolution, wave speed, boundary conditions, initial conditions, and
more.
Features
  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.
Requirements
  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse
Installation
  1. Clone the repository:
    git clone https://github.com/salastro/wavepde.git
cd wavepde
  2. Install the required packages:
    pip install -e .
Usage
Run the script with desired parameters from the command line:
wavepde.py [OPTIONS]
Options
  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is
"np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is
"np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann).
Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations.
Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the
animation will be displayed instead.
Example
To run a 2D wave simulation with default settings:
wavepde --dim 2
To run a 1D wave simulation with custom initial conditions and save the
animation as wave1d.mp4:
wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4
Project Structure
  • src/wavepde/: Main package directory.

    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the
simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave
equations.
  • main.py: Main script for running the simulations and animations.
Contributing
Contributions are welcome! Please feel free to submit a pull request or open an
issue if you have any suggestions or improvements. Remember to follow the
Contribution guidelines.
Issues
If you encounter any problems or have any suggestions, please open an issue
along with a detailed description.
License
This project is licensed under the MIT License. See the LICENSE file
for details.
About
Wave Partial Differential Equation Solver in Python
Resources
Readme
MIT license
Contributing
Contributing
Activity
Stars
15 stars
Watchers
1 watching
Forks
2 forks
Report repository
Used by
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers");
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})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

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WavePDE
omega-source-v2-15s.mp4
Overview
WavePDE is a Python project that simulates and animates the wave equation in one
or two dimensions. Users can customize various parameters, including domain
size, grid resolution, wave speed, boundary conditions, initial conditions, and
more.
Features
  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.
Requirements
  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse
Installation
  1. Clone the repository:
    git clone https://github.com/salastro/wavepde.git
cd wavepde
  2. Install the required packages:
    pip install -e .
Usage
Run the script with desired parameters from the command line:
wavepde.py [OPTIONS]
Options
  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is
"np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is
"np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann).
Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations.
Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the
animation will be displayed instead.
Example
To run a 2D wave simulation with default settings:
wavepde --dim 2
To run a 1D wave simulation with custom initial conditions and save the
animation as wave1d.mp4:
wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4
Project Structure
  • src/wavepde/: Main package directory.

    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the
simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave
equations.
  • main.py: Main script for running the simulations and animations.
Contributing
Contributions are welcome! Please feel free to submit a pull request or open an
issue if you have any suggestions or improvements. Remember to follow the
Contribution guidelines.
Issues
If you encounter any problems or have any suggestions, please open an issue
along with a detailed description.
License
This project is licensed under the MIT License. See the LICENSE file
for details.
About
Wave Partial Differential Equation Solver in Python
Resources
Readme
MIT license
Contributing
Contributing
Activity
Stars
15 stars
Watchers
1 watching
Forks
2 forks
Report repository
Used by
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injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode");
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Skip to content
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WavePDE
omega-source-v2-15s.mp4
Overview
WavePDE is a Python project that simulates and animates the wave equation in one
or two dimensions. Users can customize various parameters, including domain
size, grid resolution, wave speed, boundary conditions, initial conditions, and
more.
Features
  • Supports both 1D and 2D wave equations.
  • Customizable domain size and grid resolution.
  • Adjustable wave speed and time step.
  • Different boundary conditions, Dirichlet and Neumann.
  • Custom initial conditions and velocity profiles.
  • Option to save the animation as a video file.
Requirements
  • Python 3.12 or higher
  • numpy
  • matplotlib
  • argparse
Installation
  1. Clone the repository:
    git clone https://github.com/salastro/wavepde.git
cd wavepde
  2. Install the required packages:
    pip install -e .
Usage
Run the script with desired parameters from the command line:
wavepde.py [OPTIONS]
Options
  • --dim: Dimension of the wave equation (1 or 2). Default is 2.
  • -a: Length of the domain. Default is 1.
  • -n: Number of grid points along each axis. Default is 50.
  • -c: Wave speed. Default is 1.
  • -t: Factor for calculating the time step. Default is sqrt(2).
  • -T: Final time for the simulation. Default is 1.
  • -f: Initial condition as a string expression. Default is
"np.zeros_like(x)".
  • -g: Initial velocity condition as a string expression. Default is
"np.zeros_like(x)".
  • --bndry: Boundary condition for 2D simulations (dirichlet or neumann).
Default is neumann.
  • --source: Amplitude and angular frequency of the source for 2D simulations.
Default is [0.5, 2].
  • --video: Name of the video file to save the animation. If not provided, the
animation will be displayed instead.
Example
To run a 2D wave simulation with default settings:
wavepde --dim 2
To run a 1D wave simulation with custom initial conditions and save the
animation as wave1d.mp4:
wavepde --dim 1 -f "np.sin(np.pi * x)" -g "np.zeros_like(x)" --source 0 --video wave1d.mp4
Project Structure
  • src/wavepde/: Main package directory.

    • Plot.py: Contains Wave1DAnim and Wave2DAnim classes for animating the
simulations.
    • Wave.py: Contains Wave1D and Wave2D classes for setting up the wave
equations.
  • main.py: Main script for running the simulations and animations.
Contributing
Contributions are welcome! Please feel free to submit a pull request or open an
issue if you have any suggestions or improvements. Remember to follow the
Contribution guidelines.
Issues
If you encounter any problems or have any suggestions, please open an issue
along with a detailed description.
License
This project is licensed under the MIT License. See the LICENSE file
for details.
About
Wave Partial Differential Equation Solver in Python
Resources
Readme
MIT license
Contributing
Contributing
Activity
Stars
15 stars
Watchers
1 watching
Forks
2 forks
Report repository
Used by
Contributors
Languages