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2017•Unpublished venueRequires access

A P-stable Linear Multistep Method for Solving Stiff Delay Differential Equations

O. A. Akinfenwa, R. I. Abdulganiy, S. A. Okunuga, U.K Obinna

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Abstract

In this paper, a P-stable linear multistep method is derived for the numerical solution of delay differential equations (DDEs). The method has order k+1 and implemented using a constant step size in a block by block fashion. The P-stability region of the method is discussed. The numerical results revealed that the method is efficient and reliable for the solutions of first order delay differential equations. Tables 1-4 presented for some standard delay problems show the accuracy of the method when compared to those in the literature.

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What this paper is about

In this paper, a P-stable linear multistep method is derived for the numerical solution of delay differential equations (DDEs). The method has order k+1 and implemented using a constant step size in a block by block fashion. The P-stability region of the method is discussed. The numerical results revealed that the method is efficient and reliable for the solutions of first order delay differential equations. Tables 1-4 presented for some standard delay problems show the accuracy of the method when compared to those in the literature.

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Available abstract

In this paper, a P-stable linear multistep method is derived for the numerical solution of delay differential equations (DDEs). The method has order k+1 and implemented using a constant step size in a block by block fashion. The P-stability region of the method is discussed. The numerical results revealed that the method is efficient and reliable for the solutions of first order delay differential equations. Tables 1-4 presented for some standard delay problems show the accuracy of the method when compared to those in the literature.

Key concepts: Linear multistep method, Backward differentiation formula, Delay differential equation, Mathematics, Numerical methods for ordinary differential equations, Stability (learning theory), Differential equation, Numerical analysis

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