Finite volumes and nonlinear diffusion equations
نویسندگان
چکیده
منابع مشابه
Finite volumes and nonlinear di usion equations
In this paper we prove the convergence of a nite volume scheme to the solution of a Stefan problem, namely the nonlinear diiusion equation ut ?'(u) = v, together with a homogeneous Neumann boundary condition and an initial condition. This is done by means of a priori estimates in L 1 and use of Kolmogorov's theorem on relative compactness of subsets of L 2 .
متن کاملA Mixed Finite Element Method for Nonlinear Diffusion Equations
We propose a mixed finite element method for a class of nonlinear diffusion equations, which is based on their interpretation as gradient flows in optimal transportation metrics. We introduce an appropriate linearization of the optimal transport problem, which leads to a mixed symmetric formulation. This formulation preserves the maximum principle in case of the semi-discrete scheme as well as ...
متن کاملApplied Mathematics Letters Finite Time Extinction in Nonlinear Diffusion Equations
K e y w o r d s F i n i t e travelling waves, Degenerate diffusion, Singular, Extinction. 1. I N T R O D U C T I O N This paper is concerned with the quasilinear parabolic equation _ m +l u, d (u ) ~ + f (u ) , (x, t) ~ Q := ]~ × (0, ~ ) , u(x, O) = Uo(Z), x ~ R, 0 <_ uo <_ 1, (1) (2) where m > 0, d = 1 / (m + 1), u0 E C(R), and f satisfies the following. (A1) f e C[0, 1] N CI(0, 1], f (0) = f ...
متن کاملFinite-difference lattice Boltzmann model for nonlinear convection-diffusion equations
A lattice Boltzmann model for convection-diffusion equation with nonlinear convection and isotropic-diffusion terms is proposed through selecting equilibrium distribution function properly. The model can be applied to the common real and complex-valued nonlinear evolutionary equations, such as the nonlinear Schrödinger equation, complex Ginzburg-Landau equation, Burgers-Fisher equation, nonline...
متن کاملNonlinear Diffusion Equations
Existence of wavefronts for discrete two-dimensional evolution models involving diifusive terms with a nonlinear dependence on the discrete ‘grsdients’ is studied. For small values of a control parameter, we prove existence of steady wavefronts. We investigate numerically the transition of steady fronts to traveling waves as the control parameter increases. @ 2002 Elsevier Science Ltd. All righ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1998
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1998320607471