Eight-Order Implicit Block Method With Two Off-Step Points for Stiff Ordinary Differential Equations

C. N.  Abhulimen; M. M.  Abdullah; A. A.  Amuno

C. N. Abhulimen Department of Mathematics, Faculty of Physical Sciences, Ambrose Ali University, Ekpoma, Edo State, Nigeria.
M. M. Abdullah Department of Mathematics, Faculty of Natural and Applied Sciences, Nasarawa State University, Keffi, Nasarawa State
A. A. Amuno Department of Mathematics, Faculty of Natural and Applied Sciences, Nasarawa State University, Keffi, Nasarawa State,

Keywords: Implicit, Block Backward Differentiation, Stability, Off-Steps, Stiff Differential Equations

Abstract

In this work, we derived eight-order, implicit block formula using backward differentiation method with two off-step points for solving stiff ordinary differential equations. We solve some standard set of stiff initial value problems (IVPs) using the new method. We then compared the numerical results with the existing methods which have solved the same set of ivps. We have also verified the consistency, order and stability of the method whereby, method is found to be A-stable and consistent.

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