Error Estimates for a Regularization of a Class of Porous Medium Equations 1
B. Fadimba · 2012
In solving numerically the class of Porous Medium Equations (PME) @S @t +r f(S)ur k(S)rS = Q(S) with appropriate boundary and initial conditions, one often regularizes the problem, because of possible roughness in the numerical solution, due to the smallness or the vanishing, at some points, of the diusion coecient k. We consider a regularization of the PME and establish conver