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Zbl 0942.76077
He, Jihuan
Approximate analytical solution for seepage flow with fractional derivatives in porous media. (English)
[J] Comput. Methods Appl. Mech. Eng. 167, No.1-2, 57-68 (1998). ISSN 0045-7825

Summary: We propose an exact model for seepage flow in porous media with fractional derivatives, which modifies the well-known Darcy law and overcomes the continuity assumption of seepage flow. A variational iteration method is described and used to give approximate solutions of the problem. The results show that the proposed iteration method, requiring no linearization or small perturbation, is effective.
MSC 2000:
*76S05 Flows in porous media
76M30 Variational methods

Keywords: seepage flow; porous media; fractional derivatives; Darcy law; variational iteration method; approximate solutions

Cited in: Zbl 1120.65133

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