Dumitrache, A. (2007) A Numerical Method to Approximate the Solutions of Nonlinear Absorption Diffusion Equation. Proceeding in Applied Mathematics and Mechanics, 7, 4070041-4070042.
http://dx.doi.org/10.1002/pamm.200701050

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.