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Kim, D. and Proskurowski, W. (2004) An Efficient Approach for Solving a Class of Nonlinear 2D Parabolic PDEs. International Journal of Mathematics and Mathematical Sciences, 2004, 881-899.

has been cited by the following article:

• TITLE: On the Computation of Extinction Time for Some Nonlinear Parabolic Equations

  AUTHORS: Kossadoum Ngarmadji, Siniki Ndeuzoumbet, Hilaire Nkounkou, Benjamin Mampassi

  KEYWORDS: Nonlinear Parabolic Equations, Donor-Cell Scheme, Numerical Extinction Time, General Domains

  JOURNAL NAME: Applied Mathematics, Vol.6 No.5, May 7, 2015

  ABSTRACT: The phenomenon of extinction is an important property of solutions for many evolutionary equa-tions. In this paper, a numerical simulation for computing the extinction time of nonnegative solu-tions for some nonlinear parabolic equations on general domains is presented. The solution algo-rithm utilizes the Donor-cell scheme in space and Euler’s method in time. Finally, we will give some numerical experiments to illustrate our algorithm.