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Zbl 1159.65106
Li, Xicheng; Xu, Mingyu; Jiang, Xiaoyun
Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition. (English)
[J] Appl. Math. Comput. 208, No. 2, 434-439 (2009). ISSN 0096-3003

Summary: Homotopy perturbation method is successfully extended to solve time-fractional diffusion equation with a moving boundary condition and an approximate solution is obtained. The comparison with the exact solution shows that the approximate solution is sufficiently accurate for practical application in most cases.

MSC 2000:: *65R20 Integral equations (numerical methods)
45K05 Integro-partial differential equations
26A33 Fractional derivatives and integrals (real functions)
35K05 Heat equation

Keywords: homotopy perturbation method; fractional diffusion equation; moving boundary; special nonlinear problem; analytical approximate solutions; Taloy's series; numerical examples

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