Solving System of Boundary Value Problems using Non polynomial Spline Methods Based on Off-step Mesh

Abstract

We present two non polynomial spline methods based on quasi-variable mesh using off-step points to solve the system of boundary value problems which are nonlinear. We also discuss how the methods handle the presence of singularity. The proposed methods has been shown second and third-order convergent for a model linear problem. The methods are implemented on existing problems which are linear, non linear as well as singular. The obtained numerical results approximate the exact solutions very well and validate the theoretical findings