A P-STABLE LINEAR MULTISTEP METHOD FOR SOLVING STIFF DELAY DIFFERENTIAL EQUATIONS

  • O. A. Akinfenwa Department of Mathematics, University of Lagos, Lagos, Nigeria.
  • R. I, Abdulganiy Department of Mathematics, University of Lagos, Lagos, Nigeria.
  • S. A. Okunuga Department of Mathematics, University of Lagos, Lagos, Nigeria.
  • U. K. Obinna Department of Mathematics, University of Lagos, Lagos, Nigeria.
Keywords: Delay differential equation, Multistep method, P-stability region.

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.

Published
2019-02-04
How to Cite
Akinfenwa, O. A., Abdulganiy, R. I., Okunuga, S. A., & Obinna, U. K. (2019). A P-STABLE LINEAR MULTISTEP METHOD FOR SOLVING STIFF DELAY DIFFERENTIAL EQUATIONS. UNILAG Journal of Medicine, Science and Technology, 5(2), 1-12. Retrieved from http://ujmst.unilag.edu.ng/article/view/196
Issue
Vol 5 No 2 (2017): UNILAG JOURNAL OF MEDICINE, SCIENCE AND TECHNOLOGY
Section
Articles