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http://dx.doi.org/10.1016/j.jmaa.2008.11.026

has been cited by the following article:

• TITLE: Solution of Delay Differential Equations Using a Modified Power Series Method

  AUTHORS: Oladotun Matthew Ogunlaran, Adeyemi Sunday Olagunju

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

  JOURNAL NAME: Applied Mathematics, Vol.6 No.4, April 17, 2015

  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.