https://github.com/maxwellmatthis/differential-equation-simulator

A small program and framework for visualizing physical objects moving around.
https://github.com/maxwellmatthis/differential-equation-simulator

2d animation differential-equations math physics

Last synced: about 2 months ago
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A small program and framework for visualizing physical objects moving around.

• Host: GitHub
• URL: https://github.com/maxwellmatthis/differential-equation-simulator
• Owner: maxwellmatthis
• License: agpl-3.0
• Created: 2023-09-04T18:06:54.000Z (over 1 year ago)
• Default Branch: main
• Last Pushed: 2023-09-18T10:08:35.000Z (over 1 year ago)
• Last Synced: 2024-01-26T05:42:31.484Z (about 1 year ago)
• Topics: 2d, animation, differential-equations, math, physics
• Language: JavaScript
• Homepage:
• Size: 7.56 MB
• Stars: 1
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# differential-equation-simulator

A small program and framework for visualizing physical objects moving around.

# How to Use - Example

```js

// make sure to update the names of these elements to your own

const engineTime = document.querySelector("span#engine-time");

const realTime = document.querySelector("span#real-time");

const fps = document.querySelector("span#fps");

/** @type {HTMLCanvasElement} */

const canvas = document.querySelector("canvas#view");

import { Engine, Rect } from "./lib.js";

class ConstantX extends Rect {

  constructor(ix, iy, dt, v = 40) {

    super(ix, iy, dt);

    this.registerCompute((dt) => {

      this.x = this.x + v * dt; // s(t_2) = s(t_1) + s'(t_1) * (t_2 - t_1)

      v *= this.verticalEdgeBounceFactor(v); // flips v_x vector when the `Rect` touches the left or right edge

    });

  }

}

const engine = new Engine(canvas, [ new ConstantX(10, 20, 0.01) ]);

engine.registerHTMLComponents(engineTime, realTime, fps);

engine.run(50); // run the engine for 50s

```

# Demo

https://github.com/maxwellmatthis/differential-equation-simulator/assets/58150536/de5732c8-a65b-43f0-8666-f14741d02c89