Poisson's equation on a three-dimensional rectangle

This application solves Poisson's equation in a three-dimensional rectangle with Dirichlet boundary condition in the form $$\begin{array}{rl}-\mathrm{\Delta }u(\mathbf{x})& =f(\mathbf{x}),\mathbf{x}\in \mathrm{\Omega }=[0,a]\times [0,b]\times [0,c]\\ u(\mathbf{x})& =0,\mathbf{x}\in \partial \mathrm{\Omega }\end{array}$$ where $\mathbf{x}$ is $(x,y,z)$. See Poisson's equation on rectangular domains I for more detail of the problem.

Data Input

The calculator requires a user to enter function $f(x,y,z)$ as f(x1,x2,x3) and the size of the 3D rectangle (a,b,c), where $3⩽a,b,c⩽8$.

Poisson's Equation Calculator