Solution of Delay Differential Equations Using a Modified Power Series Method

Oladotun Matthew Ogunlaran¹, Adeyemi Sunday Olagunju²

¹Department of Mathematics and Statistics, Bowen University, Iwo, Nigeria.
²Department of Mathematics, Federal University, Lafia, Nigeria.

DOI: 10.4236/am.2015.64061                

Abstract

This paper presents a Modified Power Series Method (MPSM) for the solution of delay differential equations. Unlike the traditional power series method which is applied to solve only linear differential equations, this new approach is applicable to both linear and nonlinear problems. The method produces a system of algebraic equations which is solved to determine the coefficients in the trial solution. The method provides the solution in form of a rapid convergent series. The obtained results for numerical examples demonstrate the reliability and efficiency of the method.

Keywords

Delay Differential Equations, Power Series, Taylor Series, Newton’s Method

Conflicts of Interest

The authors declare no conflicts of interest.

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