Second Derivative Two-step Block Hybrid Enright’s Linear Multistep Methods for Solving Initial Value Problems of General Second Order Stiff Ordinary Differential Equations
Sabo John, Yusuf, T. Kyagya, Adamu, A. Bambur
Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 19 Jan 2019
10.9734/JAMCS/2019/45557Abstract
In this research, the formation of second derivative two-step block hybrid Enright’s linear multistep methods for solving initial value problems is studied. In forming the method, we follow Enright’s 1974 approach, by introducing the off-mesh points at both interpolation and collocations; we developed the continuous schemes for new Enright’s method. The analysis of new Enright method was studied and it was found to be consistent, convergent and zero-stable. We further computed the order, error constants and plotted the region of absolute stability within which the method is A-stable. The methods exhibited better accuracy level when provided with numerical examples than the existing method with which we compared our results.
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