A finite difference approximation of a two dimensional time fractional advection-dispersion problem

Autor:	Mejía, Carlos E., Piedrahita, Alejandro
Rok vydání:	2018
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	Time fractional advection-dispersion equations arise as generalizations of classical integer order advection-dispersion equations and are increasingly used to model fluid flow problems through porous media. In this paper we develop an implicit finite difference method to solve a two-dimensional initial boundary value problem for the linear time fractional advection-dispersion equation with variable coefficients on a bounded domain. Consistency, stability and convergence of the method are proved in detail and the numerical experiments offer a good insight into the quality of the obtained approximations.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.07393 Zobrazit plný text záznamu View this record from Arxiv