Numerical Solutions of System of Second Order Boundary Value Problems using Galerkin Method

Authors

  • Mahua Jahan Rupa Department of Mathematics, University of Barisal, Barisal-8200
  • Md Shafiqul Islam Department of Applied Mathematics, University of Dhaka, Dhaka-1000

DOI:

https://doi.org/10.3329/ganit.v37i0.35734

Keywords:

Galerkin method, second order linear and nonlinear BVP, Bernstein and Legendre polynomials

Abstract

In this paper we derive the formulation of one dimensional linear and nonlinear system of second order boundary value problems (BVPs) for the pair of functions using Galerkin weighted residual method. Here we use Bernstein and Legendre polynomials as basis functions. The proposed method is tested on several examples and reasonable accuracy is found. Finally, the approximate solutions are compared with the exact solutions and also with the solutions of the existing methods.

GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 161-174

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Published

2018-02-20

How to Cite

Rupa, M. J., & Islam, M. S. (2018). Numerical Solutions of System of Second Order Boundary Value Problems using Galerkin Method. GANIT: Journal of Bangladesh Mathematical Society, 37, 161–174. https://doi.org/10.3329/ganit.v37i0.35734

Issue

Vol. 37 (2017)

Section

Articles

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The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)