Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 3: 278 - 289

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.03.003

Finite Di erence Method for Riesz Space Fractional Advection-dispersion Equation with Fractional Robin Boundary Condition

Expand
  • 1. College of Mathematics and Information, South China Agricultural University2. School of Mathematics and Statistics, Yangtzc Normal University
LIN Hai-xin(1996-), female, native of Zhanjiang, Guangdong, engages in partial di erential equation; FANG Shao-mei(1964-), female, native of Anhui, a professor of South China Agricultural University, engages in partial di erential equation.

Received date: 2020-05-06

  Online published: 2020-10-22

Supported by

Supported by the Nation Natural Science Foundation of China (No.11271141)； the Chongqing Science and Technology Commission (cstc2018jcyjAX0787)；

Fold

Abstract

In this paper, a Riesz space fractional advection-dispersion equation with fractional Robin boundary condition is considered. By applying the fractional central difference formula and the weighted and shifted Gru¨nwald-Letnikov formula, we derive a weighted implicit finite difference scheme with accuracy O（?t2+ h2）. The solvability,stability, and convergence of the proposed numerical scheme are proved. A numerical example is presented to confirm the accuracy and efficiency of the scheme. 

Key words： fractional advection-dispersion equation, Riesz fractional derivative, fractional ; central difference, stability, convergence

Cite this article

LIN Hai-xin, FANG Shao-mei, . Finite Di erence Method for Riesz Space Fractional Advection-dispersion Equation with Fractional Robin Boundary Condition[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(3) : 278 -289 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.03.003

Options
Outlines

/

〈 〉

Copyright © Chinese Quarterly Journal of Mathematics, All Rights Reserved.
Tel: 0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
Powered by Beijing Magtech Co., Ltd.