文章基本信息

标题：An Implicit Collocation Method for Direct Solution of Fourth Order Ordinary Differential Equations
其他标题：An Implicit Collocation Method for Direct Solution of Fourth Order Ordinary Differential Equations
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作者：B. Alechenu ; D.O. Oyewola
期刊名称：Journal of Applied Sciences and Environmental Management
印刷版ISSN：1119-8362
出版年度：2019
卷号：23
期号：12
页码：2251-2257
出版社：Department of Pure & Industrial Chemistry, University of Port Harcourt
摘要：This paper presented a linear multistep method for solving fourth order initial value problems of ordinary differential equations. Collocation and interpolation methods are adopted in the derivation of the new numerical scheme which is further applied to finding direct solution of fourth order ordinary differentiation equations. This implementation strategy is more accurate and efficient than Adams–Bashforth Method solution. The newly derive scheme have better stabilities properties than that of the Adams-Bashforth Method. Numerical examples are included to illustrate the reliability and accuracy of the new methods.
关键词：Linear Multistep Methods;Region of Absolute Stability;Zero;Stability;Error Analysis;Collocation