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Block-centered finite difference method for Non-Fickian Flow in Porous Media
RUI Hong-Xing *,LI Xiao-Li
School of Mathematics, Shandong University, Jinan 250100% ffil{2} School of Mathematics, Shandong University, Jinan 250100
*Correspondence author
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Funding: National Natural Science Foundation of China (No. 91330106); the Specialized Research Fundfor the Doctoral Program of Higher Education of （No.No.20120131110003）
Opened online:21 January 2016
Accepted by: none
Citation: RUI Hong-Xing ,LI Xiao-Li .Block-centered finite difference method for Non-Fickian Flow in Porous Media[OL]. [21 January 2016] http://en.paper.edu.cn/en_releasepaper/content/4675839
 
 
In this article, a block-centered finite difference scheme is introduced and analyzed to solve the parabolic integro-differential equation arising in modeling non-Fickian flow in porous media. The scheme is Euler backward scheme with first order accuracy in time increment. Second-order error estimates in spacial meshsize both for pressure and velocity in discrete $L^2$ norms are established on non-uniform rectangular grid. Numerical experiments using the scheme show that the convergence rates are in agreement with the theoretical analysis.
Keywords:Block-centered finite difference; Parabolic integro-differential equation; Error estimates;Numerical experiments.
 
 
 

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