Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model

被引：26

作者：

Ma, Heping ^{[1
]}

Yang, Yubo ^{[1
,2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Jiaxing Univ, Nanhu Coll, Jiaxing 314001, Zhejiang, Peoples R China

来源：

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2016年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

Coimbra variable-order fractional derivative; Jacobi polynomials; spectral collocation; method; Mobile-immobile advection-dispersion model; FINITE-DIFFERENCE METHOD; NUMERICAL-SOLUTION; APPROXIMATION; OPERATORS; EQUATION;

D O I：

10.4208/eajam.141115.060616a

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An efficient high order numerical method is presented to solve the mobile immobile advection-dispersion model with the Coimbra time variable-order fractional derivative, which is used to simulate solute transport in watershed catchments and rivers. On establishing an efficient recursive algorithm based on the properties of Jacobi polynomials to approximate the Coimbra variable-order fractional derivative operator, we use spectral collocation method with both temporal and spatial discretisation to solve the time variable-order fractional mobile-immobile advection-dispersion model. Numerical examples then illustrate the effectiveness and high order convergence of our approach.

引用

页码：337 / 352

页数：16

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