High-order Hybrid Obreshkov Methods

High-order Hybrid Obreshkov Methods

In this paper, a family of high order Obreshkov hybrid formulas are proposed for the numerical solution of first order initial value problems (IVPs) in ordinary differential equations (ODEs). These formulas are stable for step number k ≤ 18. Results from numerical experiments with the constructed hy...

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Veröffentlicht in:IAENG international journal of applied mathematics 2018-02, Vol.48 (1), p.1-11
Hauptverfasser: Okuonghae, R I, Aiguobasimwin, I B
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Differential equations
Ordinary differential equations
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Zusammenfassung:In this paper, a family of high order Obreshkov hybrid formulas are proposed for the numerical solution of first order initial value problems (IVPs) in ordinary differential equations (ODEs). These formulas are stable for step number k ≤ 18. Results from numerical experiments with the constructed hybrid methods on well-known stiff problems have been reported herein.
ISSN:1992-9978
1992-9986