HIGH ORDER HYBRID BLOCK METHODS FOR THE SOLUTION OF INITIAL VALUE PROBLEMS

MENINWA, Collins A. & OGUNFEYITIMI, Seun E.
Department of Mathematics,
University of Benin,

Benin City, Edo State, Nigeria
Corresponding Email : seun.ogunfeyitimi@physci.uniben.edu

Abstract
A class of high order hybrid block methods (HOHBM) for the solution of initial value problems.
This set of schemes is obtained from a continuous approximation via interpolations means. The order and the linear stability properties of the derived schemes are studied which makes it
appropriate for approximating stiff systems. Numerical illustrations are presented to confirm the accuracy of the derived schemes.
Keywords: Block methods, hybrid methods, Interpolations, stiff problems.

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