A Semi-Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations

S. O. Edeki, H. I. Okagbue, A. A. Opanuga, S. A. Adeosun

Department of Mathematical Sciences, Crescent University, Abeokuta, Nigeria.
Department of Mathematics, College of Science & Technology, Covenant University, Otta, Nigeria.

DOI: 10.4236/am.2014.513196                

Abstract

This paper presents the theory and applications of a new computational technique referred to as Differential Transform Method (DTM) for solving second order linear ordinary differential equations, for both homogeneous and nonhomogeneous cases. For the robustness and efficiency of the method, four examples are considered. The results indicate that the DTM is reliable and accurate when compared to the exact solutions of the solved problems.

Keywords

Differential Transform Method, Second Order ODEs, Linear Systems, Series Solution

Conflicts of Interest

The authors declare no conflicts of interest.

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