Variant Second order method for the numerical solution Initial Value Problem in Ordinary Differential Equations

Abstract

In this paper an attempt has been made to find an alternative numerical method for the solution of the initial value problem in ordinary differential equations. Previously, researchers have used Taylor’s series expansion or they have approximated the definite integral by different quadrature rules to develop numerical methods for the said purpose. We have developed a variant method using numerical integration based on Haar wavelet to approximate the same. The performance and the stability of the constructed method have been studied. The constructed method is found to be of second order.