Two-Step Hybrid Block Method for Solving First Order Ordinary Differential Equations Using Power Series Approach
G. Ajileye *
Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria
S. A. Amoo
Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria
O. D. Ogwumu
Department of Mathematics and Statistics, Federal University, Wukari, Taraba State, Nigeria
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider the derivation of hybrid block method for the solution of general first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the method of Collocation and Interpolation using power series approximation to generate the continuous formula. The properties and features of the methods are analyzed and some numerical examples are also presented to illustrate the accuracy and effectiveness of the method.
Keywords: Collocation, interpolation, linear multistep method, hybrid and power series polynomial