Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

Abstract EN

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.