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

• 作者: A. A. Opanuga H. I. Okagbue S. A. Adeosun S. O. Edeki
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Differential TRANSFORM Method SECOND Order ODES Linear Systems Series Solution
• 年，卷（期）: 2014,（13）
• 页码范围: 2034-2041
• 页数: 8页
• 分类号: O1

摘要

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.