A Unified Approach for Solving Nonlinear Regular Perturbation Problems

Autor/in	Khuri, S. A.
Titel	A Unified Approach for Solving Nonlinear Regular Perturbation Problems
Quelle	In: International Journal of Mathematical Education in Science and Technology, 39 (2008) 8, S.1077-1090 (14 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0020-739X
Schlagwörter	Algebra; Teaching Methods; Problem Solving; Mathematics Instruction; Equations (Mathematics); College Mathematics; Undergraduate Study + Suchen Sie Ihr Suchwort? Teaching method; Lehrmethode; Unterrichtsmethode; Problemlösen; Mathematics lessons; Mathematikunterricht; Equations; Mathematics; Gleichungslehre; Grundstudium
Abstract	This article describes a simple alternative unified method of solving nonlinear regular perturbation problems. The procedure is based upon the manipulation of Taylor's approximation for the expansion of the nonlinear term in the perturbed equation. An essential feature of this technique is the relative simplicity used and the associated unified computational procedure that is employed. As such it should be of interest to teachers of applied mathematics courses, particularly those courses which include perturbation methods. One of the merits of this approach is that it leads on naturally to a scheme based on Taylor's expansions and, consequently, allows the regular perturbation method to be introduced into a course much earlier than is currently common. The method is illustrated by implementing it to four perturbation problems, including two algebraic equations and two initial-value problems. The new approach is compared and contrasted with the traditional perturbation scheme in order to demonstrate its relative merit. (Contains 4 tables.) (As Provided).
Anmerkungen	Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10