Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Umer Saeed and Mujeeb ur Rehman

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. In each iteration of quasilinearization technique, solution is updated by wavelet-Galerkin method. In order to demonstrate the applicability of proposed method, we consider the various nonlinear boundary value problems.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:868934

DOI: 10.1155/2014/868934

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