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An efficient approach for solving a class of nonlinear 2 D parabolic PDE s

Dongjin Kim and Wlodek Proskurowski

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-19

Abstract:

We consider a class of nonlinear 2 D parabolic equations that allow for an efficient application of an operator splitting technique and a suitable linearization of the discretized problem. We apply our scheme to study the finite extinction phenomenon for the porous-medium equation with strong absorption. A comparison of accuracy and computational efficiency of the resulting algorithms for several test problems is presented.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:189571

DOI: 10.1155/S0161171204211218

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