A Five-Step P-Stable Method for the Numerical Integration of Third Order Ordinary Differential Equations

• 作者: D. O. Awoyemi L. O. Adoghe S. J. Kayode
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Continuous COLLOCATION MULTISTEP Methods INTERPOLATION Third Order Power Series APPROXIMATE Solution
• 年，卷（期）: 2014,（3）
• 页码范围: 119-126
• 页数: 8页
• 分类号: O1

摘要

In this paper we derived a continuous linear multistep method (LMM) with step number k = 5 through collocation and interpolation techniques using power series as basis function for approximate solution. An order nine p-stable scheme is developed which was used to solve the third order initial value problems in ordinary differential equation without first reducing to a system of first order equations. Taylor’s series algorithm of the same order was developed to implement our method. The result obtained compared favourably with existing methods.