Solution of boundary value problems using fractal non-polynomial spline

Abstract

A new technique is constructed in this study using fractal non-polynomial spline to solve second order boundary value problems (BVPs). We have developed techniques of order two as well as four. Convergence of the fourth order method is obtained. Two linear and two non-linear second order BVPs have been solved by the presented method. Obtained results are more precise when compared with existing results of order four. Graphs between exact and approximate solutions have also proved the reliability and efficiency of developed technique.