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Details for article 5 of 11 found articles
| Title: |
A unified approach for solving nonlinear regular perturbation problems |
| Author: |
Khuri, S. A. |
| Appeared in: |
International journal of mathematical education in science and technology |
| Paging: | Volume 39 (2008) nr. 8 pages 1077-1090 |
| Year: |
2008-12 |
| Contents: |
This aritcle 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. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 11 found articles
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