A Family of High Order One-Block Methods for the Solution of Stiff Initial Value Problems
I. J. Ajie, K. Utalor, P. Onumanyi
Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 18 Apr 2019
10.9734/jamcs/2019/v31i630128Abstract
In this paper, we construct a family of high order self-starting one-block numerical methods for the solution of stiff initial value problems (IVP) in ordinary differential equations (ODE). The Reversed Adams Moulton (RAM) methods, Generalized Backward Differentiation Formulas (GBDF) and Backward Differentiation Formulas (BDF) are used in the constructions. The E-transformation is applied to the triples and a family of self-starting methods are obtained. The family is for . The numerical implementation of the methods on some stiff initial value problems are reported to show the effectiveness of the methods. The computational rate of convergence tends to the theoretical order as h tends to zero.
Cited by 2
I. Esuabana, SE Ekoro, F. Adie · International Journal of Statistics and Applied Mathematics · 2022
I. Ajie, K. Utalor, M. Durojaiye · Journal of Advances in Mathematics and Computer Science · 2019
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