Kim, Dongjin; Proskurowski, Wlodek An efficient approach for solving a class of nonlinear \(2\text{D}\) parabolic PDEs. (English) Zbl 1065.35138 Int. J. Math. Math. Sci. 2004, No. 17-20, 881-899 (2004). Summary: 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. Cited in 1 Document MSC: 35K55 Nonlinear parabolic equations 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35K65 Degenerate parabolic equations Keywords:operator splitting technique; finite extinction; porous-medium equation PDFBibTeX XMLCite \textit{D. Kim} and \textit{W. Proskurowski}, Int. J. Math. Math. Sci. 2004, No. 17--20, 881--899 (2004; Zbl 1065.35138) Full Text: DOI EuDML