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- Title
NUMERICAL SOLUTIONS OF SYSTEM OF SECOND ORDER BOUNDARY VALUE PROBLEMS USING GALERKIN METHOD.
- Authors
Rupa, Mahua Jahan; Islam, Md. Shafiqul
- 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.
- Subjects
BOUNDARY value problems; GALERKIN methods; POLYNOMIALS; RADIAL basis functions; NONLINEAR systems
- Publication
Ganit: Journal of Bangladesh Mathematical Society, 2017, Issue 37, p161
- ISSN
1606-3694
- Publication type
Article