Numerical Method Based on Galerkin Approximation for the Fractional Advection-Dispersion Equation

被引：0
作者：
Singh H. [1 ]
Sahoo M.R. [2 ]
Singh O.P. [1 ]
机构：
[1] Department of Mathematical Sciences, Indian Institute of Technology, Banaras Hindu University, Varanasi
[2] School of Mathematical Sciences, National Institute of Science Education and Research (NISER), Khurda, 752050, Odisha
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 3期
关键词：
Convergence analysis; Fractional order advection-dispersion equation; Galerkin approximation; System of fractional order ODE;
D O I：
10.1007/s40819-016-0233-0
中图分类号：
学科分类号：
摘要：
In this paper, we present a numerical method for solving homogeneous as well as non-homogeneous fractional advection-dispersion equation (FADE). The numerical method is based on the Galerkin approximation. The Galerkin approximation converts the FADE into a system of fractional ordinary differential equations whose solutions is discussed. Convergence of the proposed method is shown. Numerical examples are given and numerical results are compared with exact solution to show the effectiveness and accuracy of the proposed method. © 2016, Springer India Pvt. Ltd.
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页码：2171 / 2187
页数：16
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