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

  • Mahua Jahan Rupa Department of Mathematics, University of Barisal, Barisal-8200
  • Md Shafiqul Islam Department of Applied Mathematics, University of Dhaka, Dhaka-1000
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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Abstract
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Published
2018-02-20
How to Cite
Rupa, M., & 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
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