TITLE:
A Semi-Analytical Method for Solutions of a Certain Class of Second Order Ordinary Differential Equations
AUTHORS:
S. O. Edeki, H. I. Okagbue, A. A. Opanuga, S. A. Adeosun
KEYWORDS:
Differential Transform Method, Second Order ODEs, Linear Systems, Series Solution
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.13,
July
17,
2014
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.