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pde-modeling

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Build and solve PDEs in Wolfram Language.

Education & Research#visualization#pde#finite element#boundary conditions#wolfram language#numerical solving#physics modeling
Authortransreal
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This Skill helps you go from a physics/engineering question to an executable PDE model and runnable numerical solution workflow in Wolfram Language.

Core Features & Use Cases

  • PDE construction from components and terms: Choose high-level PDE components (heat, wave, Schrödinger, Helmholtz) or assemble via diffusion/convection/reaction/source/laplacian terms for custom physics.
  • Geometry and boundary/initial condition setup: Define spatial domains (e.g., rectangles, disks, region unions/differences) and apply Dirichlet/Neumann/periodic boundary conditions plus initial states for time evolution.
  • Numerical solving and visualization: Use NDSolveValue and optionally finite-element discretization, then render results with DensityPlot/Plot3D/VectorPlot and time animation patterns.

Quick Start

Ask the AI to model a heat diffusion problem in a rectangular region using DiffusionPDETerm with Dirichlet boundary conditions, solve it with NDSolveValue (finite elements if needed), and visualize the temperature field over time.

Dependency Matrix

Required Modules

None required

Components

Standard package

💻 Claude Code Installation

Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.

Please help me install this Skill:
Name: pde-modeling
Download link: https://github.com/transreal/claudecode/archive/main.zip#pde-modeling

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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