Variable mesh discretization of system of nonlinear singular boundary value problems

Abstract

In this paper two generalized numerical schemes using variable mesh has been developed to solve the system of nonlinear two point boundary value problems. Analytical convergence using a model fourth order problem has been provided. The order of convergence of the proposed methods are two and three. The methods are applicable to singular problems as well. Comparative study of numericals are given to prove the efficiency of the schemes.