Numerical Solution of Two Dimensional Laplace’s Equation on a Regular Domain Using Chebyshev Differentiation Matrices
M. O. Durojaye *
Department of Mathematics, University of Abuja, Nigeria.
J. K. Odeyemi
Department of Mathematics, University of Abuja, Nigeria.
I. J. Ajie
Mathematics Programme, National Mathematical Center, Abuja, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This work presents an efficient procedure based on Chebychev spectral collocation method for computing the 2D Laplace’s equation on a rectangular domain. The numerical results and comparison of finite difference and finite element methods are presented. We obtained a satisfactory result when compared with other numerical solutions.
Keywords: Chebychev spectral collocation method, regular domain, Pseudospectral method, laplacian problems.