Mathematics

How to Simulate Partial Differential Equations

Heat, wave, and diffusion equations.

Step by step

1. 1

   Open the Studio

   Launch PolySim Studio in your browser — no install or signup needed to start.

2. 2

   Set up partial differential equations

   Add the relevant nodes and parameters, or describe the system to the AI Copilot.

3. 3

   Configure conditions

   Set boundary and initial conditions so the model is well-posed.

4. 4

   Run and explore

   Run locally with WebGPU and inspect the results interactively.

5. 5

   Share or scale

   Publish an interactive embed, or scale to the cloud for larger runs.

Partial Differential Equations by industry