A two-grid block-centered finite difference method for nonlinear non-Fickian flow model

Xiaoli Li and Hongxing Rui

Applied Mathematics and Computation, 2016, vol. 281, issue C, 300-313

Abstract: In this paper, a two-grid block-centered finite difference scheme is introduced and analyzed to solve the nonlinear parabolic integro-differential equation arising in modeling non-Fickian flow in porous media. This method is considered where the nonlinear problem is solved only on a coarse grid of size H and a linear problem is solved on a fine grid of size h. Error estimates are established on non-uniform rectangular grid which show that the discrete L∞(L2) and L2(H1) errors are O(▵t+h2+H3). Finally, some numerical experiments are presented to show the efficiency of the two-grid method and verify that the convergence rates are in agreement with the theoretical analysis.

Keywords: Two-grid; Block-centered finite difference; Nonlinear; Parabolic integro-differential equation; Error estimates (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:300-313

DOI: 10.1016/j.amc.2016.01.056

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