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.
Multiparameter Perturbation Solution of Algebraic Equations
W. F. Ames,
W. F. Ames
University of Delaware, Newark, Del.
J. F. Sontowski
Department of Mechanical Engineering, University of Delaware, Newark, Del.
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Ames, W. F., and Sontowski, J. F. (March 1, 1966). "Multiparameter Perturbation Solution of Algebraic Equations." ASME. J. Appl. Mech. March 1966; 33(1): 218–219. https://doi.org/10.1115/1.3624993
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