Variational iteration method for solving the time-fractional diffusion equations in porous medium

doi:10.1088/1674-1056/21/12/120504

Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120504-120504.doi: 10.1088/1674-1056/21/12/120504

Variational iteration method for solving the time-fractional diffusion equations in porous medium

吴国成^{a b}

a Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University, Neijiang 641112, China;
b College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, China

收稿日期:2012-06-28 修回日期:2012-07-28 出版日期:2012-11-01 发布日期:2012-11-01
基金资助:
Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 51134018).

Variational iteration method for solving the time-fractional diffusion equations in porous medium

Wu Guo-Cheng (吴国成)^{a b}

a Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University, Neijiang 641112, China;
b College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, China

Received:2012-06-28 Revised:2012-07-28 Online:2012-11-01 Published:2012-11-01
Contact: Wu Guo-Cheng E-mail:wuguocheng2002@yahoo.com.cn
Supported by:
Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 51134018).

摘要/Abstract

摘要： The variational iteration method is successfully extended to the case of solving fractional differential equations, and the Lagrange multiplier of the method is identified in a more accurate way. Some diffusion models with fractional derivatives are investigated analytically, and the results show the efficiency of the new Lagrange multiplier for fractional differential equations of arbitrary order.

关键词: time-fractional diffusion equation, Captuo derivative, Riemann-Liouville derivative, variational iteration method, Laplace transformation

Abstract: The variational iteration method is successfully extended to the case of solving fractional differential equations, and the Lagrange multiplier of the method is identified in a more accurate way. Some diffusion models with fractional derivatives are investigated analytically, and the results show the efficiency of the new Lagrange multiplier for fractional differential equations of arbitrary order.

Key words: time-fractional diffusion equation, Captuo derivative, Riemann-Liouville derivative, variational iteration method, Laplace transformation

中图分类号: (Fractals)

05.45.Df

45.10.Hj (Perturbation and fractional calculus methods) 66.30.Pa (Diffusion in nanoscale solids) 45.10.Db (Variational and optimization methods)

吴国成. Variational iteration method for solving the time-fractional diffusion equations in porous medium[J]. Chin. Phys. B, 2012, 21(12): 120504-120504.

Wu Guo-Cheng (吴国成). Variational iteration method for solving the time-fractional diffusion equations in porous medium[J]. Chin. Phys. B, 2012, 21(12): 120504-120504.

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Variational iteration method for solving the time-fractional diffusion equations in porous medium

Variational iteration method for solving the time-fractional diffusion equations in porous medium

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