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Zbl 1246.65191
Liu, Yanqin
Variational homotopy perturbation method for solving fractional initial boundary value problems. (English)
[J] Abstr. Appl. Anal. 2012, Article ID 727031, 10 p. (2012). ISSN 1085-3375; ISSN 1687-0409/e

Summary: A variational homotopy perturbation method (VHPM) which is based on variational iteration method and homotopy perturbation method is applied to solve the approximate solution of the fractional initial boundary value problems. The nonlinear terms can be easily handled by the use of He's polynomials. It is observed that the variational iteration method is very efficient and easier to implements; illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.

MSC 2000:: *65M99 Numerical methods for IVP of PDE
35R11
65M12 Stability and convergence of numerical methods (IVP of PDE)

Keywords: variational homotopy perturbation method; variational iteration method; fractional initial boundary value problem; convergence; numerical examples

Cited in: Zbl 1256.65091

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