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ERIC Number: EJ814427
Record Type: Journal
Publication Date: 2008-Dec
Pages: 14
Abstractor: As Provided
Reference Count: 8
ISSN: ISSN-0020-739X
A Unified Approach for Solving Nonlinear Regular Perturbation Problems
Khuri, S. A.
International Journal of Mathematical Education in Science and Technology, v39 n8 p1077-1090 Dec 2008
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.)
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A