USing BVP solver to solve 2-D Laplace’s equation?
7 visualizzazioni (ultimi 30 giorni)
Mostra commenti meno recenti
I have confusion about how to use the bvp solver to solve the 2-D Laplace’s equation (∇2u=∂2u∂x2+∂2u∂y2=0) with in a boundary (rectangular). Could anyone help or provide any website that can help to impement it ?
Thank you in advance.
2 Commenti
Risposte (1)
David Wilson
il 10 Apr 2019
If you mean bvp4c, then no it is not suitable since it solves boundary value ODEs in 1D, not PDEs in 2D. To solve Laplace's eqn in 2D, the easiest way is to use a finite difference grid. See https://au.mathworks.com/help/matlab/math/finite-difference-laplacian.html for more details.
2 Commenti
Torsten
il 11 Apr 2019
Approximate the partial derivatives by difference quotients and solve the resulting system of linear equations in the node values using "backslash" or an iterative method:
https://www.mps.mpg.de/phd/numerical-integration-partial-differential-equations-stationary-problems-elliptic-pde
Vedere anche
Categorie
Scopri di più su Boundary Value Problems in Help Center e File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!