Publication

Abstract : The work’s main contribution is the innovation of two proposed methods for resolving a system of nonlinear boundary value problems (BVPs) to enhance the method’s computational efficiency. The work’s novelty is the comparative study between the Galerkin method (GM) with B-splines-based quartic (Q4BS) and the GM with B-splines-based quintic (Q5BS) for solving a coupled system of fourth-order nonlinear BVPs. Its numerical results demonstrate the advantage and efficiency of the technique, and they accept well with the published results previously. To determine which method is better, we also compare the residual error. The accuracy and quick convergence of the numerical technique in this research make it enjoyable to study.