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

Authors : Sadia Akter LİMA, Md Shafiqul ISLAM, Hazrat ALİ, Md KAMRUJJAMAN

Pages : 280-291

Doi:10.31197/atnaa.1141150

View : 137 | Download : 282

Publication Date : 2023-07-23

Article Type : Research Paper

Abstract :In this study, we consider the system of second order nonlinear boundary value problems insert ignore into journalissuearticles values(BVPs);. We focus on the numerical solutions of different types of nonlinear BVPs by Galerkin finite element method insert ignore into journalissuearticles values(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