Semi-weighted finite difference schemes for one dimensiona fractional advection-dispersion equations

ZHU Lin; RUI Hong-Xing

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ZHU Lin, RUI Hong-Xing. Semi-weighted finite difference schemes for one dimensiona fractional advection-dispersion equations[J]. Journal of East China Normal University (Natural Sciences), 2015, (6): 18-29.

Citation:

ZHU Lin, RUI Hong-Xing. Semi-weighted finite difference schemes for one dimensiona fractional advection-dispersion equations[J]. Journal of East China Normal University (Natural Sciences), 2015, (6): 18-29.

Citation:

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Semi-weighted finite difference schemes for one dimensiona fractional advection-dispersion equations

ZHU Lin^,,
RUI Hong-Xing

Received Date: 2014-11-06
Publish Date: 2015-11-25

Abstract

Abstract

A series of semi-weighted implicit finite difference schemes for solving one-dimensional fractional advection-dispersion equations with variable coefficients on a finite domain are considered in this paper. The schemes are proved unconditionally stable and second-order accuracy in spatial grid size for the problem with order of fractional derivative belonging to $[(\sqrt{17}-1)/2,2].$ Numerical examples are provided to verify the theoretical analysis.
- semi-weighted implicit finite difference schemesfractional advection-dispersion equationsunconditionally stable,

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