THE NUMERICAL SOLUTION OF THREE POINT THIRD ORDER BOUNDARY VALUE PROBLEMS IN ODES

Abstract

In the present article, third order differential equation and corresponding boundary value problems considered for the numerical solution. An improved finite difference method developed for the approximate numerical solution. The proposed method converges and O(h2), the order of convergence under appropriate condition established. In the numerical experiment, model problems were considered for the purpose of testing the performance of the proposed method. The numerical results generated in numerical experiment are in good agreement with the theoretical discussion and development of the proposed method.