Jacobi polynomial truncations and approximate solutions to classes of nonlinear differential equations

Solutions to classes of second-order, nonlinear differential equations of the form [formula omitted] + f(x) + 0, x(0) = 1, x(∙)(0) = 0 are approximated in this work. The techniques which are developed involve the replacement of the characteristic, f(x), in the nonlinear model by piecewise-linear or...

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Bibliographic Details
Main Author: Dodd, Ronald Edward
Language:English
Published: University of British Columbia 2011
Online Access:http://hdl.handle.net/2429/37717