Variational iteration method for solving time-fractional diffusion equations in porous the medium |
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| Authors: | Wu Guo-Cheng |
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| Affiliation: | [1]Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang Normal University, Neijiang 641112, China; [2]College of Water Resources and Hydropower, Sichuan University, Chengdu 610065, China |
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| 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. |
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| Keywords: | time-fractional diffusion equation Captuo derivative Riemann-Liouville derivative variational iteration method Laplace transform |
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