An efficient approach for solving a class of nonlinear 2D parabolic PDEs
作者： Dongjin Kim , Wlodek Proskurowski
DOI: 10.1155/S0161171204211218
关键词: Nonlinear system 、 Scheme (mathematics) 、 Mathematics 、 Operator splitting 、 Linearization 、 Mathematical analysis 、 Alternating direction implicit method 、 Parabolic partial differential equation 、 Discretization 、 Class (set theory)
摘要: We consider a class of nonlinear 2D parabolic equations that allow for an efficient application operator splitting technique and suitable linearization the discretized problem. apply our scheme to study finite extinction phenomenon porous-medium equation with strong absorption. A comparison accuracy computational efficiency resulting algorithms several test problems is presented.
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