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Wavelet‐Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

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  • Umer Saeed
  • Mujeeb ur Rehman

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.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:868934
DOI: 10.1155/2014/868934
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