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

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Date
2017
Authors
Akinfenwa, O.A
Abdulganiy, R.I
Okunuga, S.A
Obinna, U.K
Journal Title
Journal ISSN
Volume Title
Publisher
University of Lagos Press, Akoka
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 Pstability 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 theaccuracy of the method when compared to those in the literature.
Description
Journal Articles
Keywords
Delay differential equation , Multistep method , P-stability region , Numerical Solution
Citation
Akinfewa, O.A, Abdulganiy, R.I, Okunuga, S.A and Obinna, U.K (2017). A P-stable Linear Multistep Method for Solving Stiff Delay Differential Equations. Unilag Journal of Medicine, Science and Technology, Vol.5(2), 1-12p.