Solution of porous medium type systems by linear approximation schemes

摘要: The convergence of semi-discrete and discrete linear approximation schemes is analysed for nonlinear degenerate parabolic systems porous medium type. enthalpy formulation variational technique are used. semi-discretization used reduces the original P.D.E. to elliptic algebraic correction arising from nonlinearities treated by Newton-like iterations in finite steps. Some numerical experiments discussed compared with analytical solutions.