Solution of Some Second Order Ordinary Differential Equations Using a Derived Algorithm

• 作者: J. O. Olubunmi R. B. Ogunrinde
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NUMERICAL SCHEME Ordinary DIFFERENTIAL Equation SCHEME Development
• 年，卷（期）: 2019,（5）
• 页码范围: 312-325
• 页数: 14页
• 分类号: O1

摘要

We emphasized explicitly on the derivation and implementation of a new numerical algorithm scheme which gave stable results that show the applicability of the method. In this paper, we aimed to solve some second order initial value problems of ordinary differential equations and compare the results with the theoretical solution. Using this method to solve some initial value problems of second order ordinary differential equations, we discovered that the results compared favorably with the theoretical solution which led to the conclusion that the new numerical algorithm scheme derived in the research is approximately correct and can be prescribed for any related ordinary differential equations.