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Hybrid Methods in Engineering

ISSN 印刷: 1099-2391
ISSN オンライン: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v1.i3.70
15 pages

PERTURBATION METHOD WITH Mathematica

Mikhail D. Mikhailov
Applied Mathematics Center, PO Box 384, Sofia, Technical University, Sofia, Bulgaria; and Mechanical Engineering Department—EE/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Cidade Universitaria, CP 68.503, Rio de Janeiro, RJ, 21945-970, Brasil

要約

A Mathematica package is developed providing rules for perturbation and decomposition method. Using this package examples from the well-known book by Aziz and Na are solved. All solutions are transformed by using Shanks transformation. It is demonstrated that transformed solutions are remarkably accurate for large values of the small parameter.


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