On the Hybrid Method with Three Off-Step Points for Initial Value Problems

Autor/in	Jator, S. N.
Titel	On the Hybrid Method with Three Off-Step Points for Initial Value Problems
Quelle	In: International Journal of Mathematical Education in Science and Technology, 41 (2010) 1, S.110-118 (9 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Intervals; Calculus; Mathematics Instruction; Matrices; Equations (Mathematics); Computation; Problem Solving + Suchen Sie Ihr Suchwort? Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematics lessons; Mathematikunterricht; Matrizenrechnung; Equations; Mathematics; Gleichungslehre; Problemlösen
Abstract	A continuous representation of a hybrid method with three "off-step" points is developed via interpolation and collocation procedures, and used to obtain initial value methods (IVMs) for solving initial value problems. The IVMs are assembled into a single block matrix equation which is convergent and A-stable. We note that accuracy is improved by applying the IVMs as simultaneous numerical integrators on sub-intervals which do not overlap. The method is compared with the existing ones in the literature and its superiority over the fourth-order Runge-Kutta method is established numerically. (Contains 4 tables.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10