OFF-STEP DISCRETIZATION FOR SYSTEM OF NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS USING VARIABLE MESH

Abstract

In this paper, we propose two generalized variable mesh schemes based on off-step points to solve the system of nonlinear singular two point boundary value problems .  Theoretical analysis proves that the proposed methods have second, third and fourth order convergence.  Both the methods are applicable to singular boundary value problems.  Numerical results are also provided to show the accuracy and efficiency of the proposed methods.