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

Akinfenwa, O.A ; Abdulganiy, R.I ; Okunuga, S.A ; Obinna, U.K (2017)

Journal Articles


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.