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.


How to Cite

Durojaye, M. O., J. K. Odeyemi, and I. J. Ajie. 2019. “Numerical Solution of Two Dimensional Laplace’s Equation on a Regular Domain Using Chebyshev Differentiation Matrices”. Physical Science International Journal 23 (1):1-7. https://doi.org/10.9734/psij/2019/v23i130144.