Multiparameter Perturbation Solution of Algebraic Equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1966 English Publisher:ASME InternationalJournal:Journal of Applied Mechanics, volume 33, pages 218-219 (issn: 0021-8936, eissn: 1528-9036,

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Authors: Ames, W. F.; Sontowski, J. F.;

doi: 10.1115/1.3624993

Multiparameter Perturbation Solution of Algebraic Equations

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Abstract

The classical perturbation method—the expansion of a solution of an algebraic equation as a power series in a parameter—is extended to an expansion in several parameters. An example concerning the Timoshenko beam equation is used to illustrate the ideas. Advantages of the procedure are discussed in the light of this example.

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University of Delaware
United States

Keywords

numerical analysis

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