American Journal of Computational Mathematics
Volume 4, Issue 3 (June 2014)
ISSN Print: 2161-1203 ISSN Online: 2161-1211
Google-based Impact Factor: 0.42 Citations
A Five-Step P-Stable Method for the Numerical Integration of Third Order Ordinary Differential Equations ()
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ABSTRACT
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.
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