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**Variational homotopy perturbation method for solving fractional initial boundary value problems.**
*(English)*
Zbl 1246.65191

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:

65M99 | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |

35R11 | Fractional partial differential equations |

65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |

### Keywords:

variational homotopy perturbation method; variational iteration method; fractional initial boundary value problem; convergence; numerical examples
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\textit{Y. Liu}, Abstr. Appl. Anal. 2012, Article ID 727031, 10 p. (2012; Zbl 1246.65191)

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### References:

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