Liping Wen, Xiaolin Tang, "Numerical Solving Two-dimensional Variable-Order Fractional Advection-dispersion Equation," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Liping Wen, Xiaolin Tang. Numerical Solving Two-dimensional Variable-Order Fractional Advection-dispersion Equation.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Numerical Solving Two-dimensional Variable-Order Fractional Advection-dispersion Equation
Authors: ,
Abstract: In this paper, a two-dimensional variable-order fractional advection-dispersion equation with variable coefficient is considered. The numerical method with first order temporal accuracy and first order spatial accuracy is proposed. The convergence and stability of the numerical method are analyzed by using energy method. Finally, the results of a numerical example supports the theoretical analysis.
Keywords:
two-dimensional variable-order fractional advection-dispersion equation, finite difference methods, stability, convergence
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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