Individual skill
pde-solver
Solve partial differential equations — finite differences, spectral methods, and physics-informed neural networks (PINNs via DeepXDE). Supports 1D/2D/3D, steady/transient, linear/nonlinear PDEs with Dirichlet, Neumann, and periodic boundary conditions.
backend/cli/skills/physics/pde-solver/SKILL.md
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- Last checked
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- Nov 4, 2026
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- Apache-2.0
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# PDE Solver
## Overview
Solve partial differential equations using finite differences, spectral methods, or physics-informed neural networks (PINNs). Covers elliptic (Laplace, Poisson), parabolic (heat, diffusion), and hyperbolic (wave) equations in 1D, 2D, and 3D.
## When to Use
- Solving any PDE in physics (heat equation, wave equation, Navier-Stokes, Schrodinger, etc.)
- Steady-state or time-dependent problems
- Problems on simple geometries (rectangles, circles, boxes)
- Inverse problems (discovering parameters from data)
## Do NOT Use When