PDE & Variational Methods - Demos
This page is generated by Xiangxiong Zhang
using AI agent tool Claude Code: each section along with its
content (slides, code, picture) was generated by a slash command
(a user defined skill). This page is nothing but a demo for how to
AI tools. This page shall not be used for any other purpose like
learning or teaching.
Poisson Equation
Strong Form: -Δu = f
in Ω, u = 0 on ∂Ω
Numerical Result
Heat Equation
Strong Form: ∂u/∂t -
αΔu = 0 in Ω×(0,T], u = 0 on ∂Ω
Numerical Result
Wave Equation
Strong Form: ∂²u/∂t² − c²Δu = f in Ω×(0,T]
Numerical Result