Numerical Solution of Two Dimensional Laplace’s Equation on a Regular Domain Using Chebyshev Differentiation Matrices

M. O. Durojaye; J. K. Odeyemi; I. J. Ajie

doi:10.9734/psij/2019/v23i130144

Research Article Open access CC BY 4.0

Numerical Solution of Two Dimensional Laplace’s Equation on a Regular Domain Using Chebyshev Differentiation Matrices

M. O. Durojaye, J. K. Odeyemi, I. J. Ajie

Physical Science International Journal · pp. 1–7 · Published 20 Aug 2019

10.9734/psij/2019/v23i130144

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.

Chebychev spectral collocation method regular domain Pseudospectral method laplacian problems.

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

Affiliations

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.

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