Numerical method to solve generalized nonlinear system of second order boundary value problems: Galerkin approach

Year 2023, Volume: 7 Issue: 2, 280 - 291, 23.07.2023

Sadia Akter Lima Md. Shafiqul Islam Hazrat Ali Md. Kamrujjaman

https://doi.org/10.31197/atnaa.1141150

Abstract

In this study, we consider the system of second order nonlinear boundary value problems (BVPs). We focus on the numerical solutions of
different types of nonlinear BVPs by Galerkin finite element method (GFEM). First of all, we originate the generalized formulation of GFEM for those type of problems. Then we determine the approximate solutions of a couple of second order nonlinear BVPs by GFEM. The approximate results are unfolded in tabuler form and portrayed graphically along with the exact solutions. Those results demonstrate the applicability, compatibility and accuracy of this scheme.

Keywords

Galerkin method, Nonlinear system, Higher order BVPs, Trial function

Supporting Institution

University of Calgary, Calgary, AB, Canada

Thanks

Indeed thanks to the Editor and referees in advance.

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