Build Wolfram Language PDE models with terms, conditions, and NDSolveValue workflows.
npx skills add https://github.com/transreal/claudecode --skill pde-modeling
Please help me install this Agent Skill. Skill: pde-modeling Source: https://github.com/transreal/claudecode/tree/main/Claude%20Directives/skills/pde-modeling Command: npx skills add https://github.com/transreal/claudecode --skill pde-modeling
This Skill helps you go from a physics/engineering question to an executable PDE model and runnable numerical solution workflow in Wolfram Language.
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.
High-intent search queries and answers about installing and using this skill.
To solve a partial differential equation in Wolfram Language, you translate physics assumptions into PDE components like HeatPDEComponent, define geometry and boundary conditions, and execute a numerical solve workflow using NDSolveValue with finite-element discretization.
The best way to model heat diffusion is by using DiffusionPDETerm to construct the equation, applying Dirichlet boundary conditions to your spatial domain, solving with NDSolveValue, and visualizing the temperature field with DensityPlot or time animations.
Yes, you can build Schrödinger or wave equation simulations by utilizing specialized components like SchrodingerPDEComponent and WavePDEComponent, defining your spatial geometry, setting initial states, and running NDSolveValue for time evolution.
You set up spatial geometry by defining regions like rectangles or disks and applying Neumann boundary conditions to the domain edges, which allows the finite element method in NDSolveValue to properly discretize and solve the PDE model.
Visualization options for time-dependent PDE solutions from NDSolveValue include DensityPlot for field intensity, Plot3D for surface rendering, VectorPlot for directional fields, and time animation patterns to show dynamic evolution across the spatial domain.
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