Multiparameter Perturbation Solution of Algebraic Equations

[+] Author and Article Information
W. F. Ames

University of Delaware, Newark, Del.

J. F. Sontowski

Department of Mechanical Engineering, University of Delaware, Newark, Del.

J. Appl. Mech 33(1), 218-219 (Mar 01, 1966) (2 pages) doi:10.1115/1.3624993 History: Received February 23, 1965; Revised August 02, 1965; Online September 15, 2011


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.

Copyright © 1966 by ASME
Topics: Equations
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