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

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DOI: 10.4236/ajcm.2014.43011    3,728 Downloads   5,397 Views   Citations

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.

Cite this paper

Awoyemi, D. , Kayode, S. and Adoghe, L. (2014) A Five-Step P-Stable Method for the Numerical Integration of Third Order Ordinary Differential Equations. American Journal of Computational Mathematics, 4, 119-126. doi: 10.4236/ajcm.2014.43011.

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