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

作     者：D. O. Awoyemi S. J. Kayode L. O. Adoghe 

作者机构：Department of Mathematical Sciences Federal University of Technology Akure Nigeria Department of Mathematics Ambrose Alli University Ekpoma Nigeria Department of Mathematics Landmark University Umuaru Nigeria 

出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2014年第4卷第3期

页      面：119-126页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Continuous Collocation Multistep Methods Interpolation Third Order Power Series Approximate Solution 

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.