Numerical method to solve generalized nonlinear system of second order boundary value problems: Galerkin approach-Reference-Cited by-同舟云学术

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

Published:2023-07-23 Issue:2 Volume:7 Page:280-291
ISSN:2587-2648
Container-title:Advances in the Theory of Nonlinear Analysis and its Application
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Author:

LİMA Sadia Akter¹^ORCID,ISLAM Md. Shafiqul²^ORCID,ALİ Hazrat²^ORCID,KAMRUJJAMAN Md.²^ORCID

Affiliation:

1. Noakhali Science and Technology University

2. Dhaka University

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.

Funder

University of Calgary, Calgary, AB, Canada

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

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