MATLAB to solve laplace equation

Hi, I was wondering if you could help clarify something for me regarding MATLAB as I'm a beginner at it. My assignment has the question: Write the following numerical codes to solve the linear system using the Jacobi, Gauss-Seidel, and Successive Over-Relaxation (SOR) on three grid sizes 100 by 100, 200 by 200, 300 by 300. I don't understand what they mean by grid size. We have to solve the Laplace equation with Dirichlet boundary conditions; I'm confused about what to put as the initial array, and what to use as the number of nodes in the x and y direction. Where does the grid size come into play here?

[Torsten]

You are supposed to solve the Laplace equation

a) in 100 (x-direction) x 100 (y-direction),

b) in 200 (x-direction) x 200 (y-direction),

c) in 300 (x-direction) x 300 (y-direction) points.

Best wishes

Torsten.

Answer 1

[Jansen Tacata]

Use the linearity property of Laplace transform to find L[5e −7t + t + 2e 2t ]. Find the domain of F(s).