A numerical approach to porous medium equations

In this work we propose a new numerical scheme to solve some kind of degenerate parabolic equations. The underlying idea of the scheme is based on the maximum principle. More precisely, we locally perturb the (initial and boundary) data instead of the nonlinear diffusion coefficients, so that the resulting problem is not degenerate. The efficiency of this method is shown analytically as well as numerically. The numerical experiments show that this new approach is comparable with the existing ones. (orig.)SIGLEAvailable from TIB Hannover: RR 1606(96-50) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekDEGerman