Wavelet-Galerkin quasilinearization method for nonlinear boundary value problems. (English) Zbl 1474.65257

Saeed, Umer; Rehman, Mujeeb ur

Abstr. Appl. Anal. 2014, Article ID 868934, 10 p. (2014).

Summary: 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.

MSC:

65L60	Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65T60	Numerical methods for wavelets

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