Numerical method for solving fractional convection diffusion equations with time-space variable coefficients

Guo Zhong; Mingxu Yi; Jun Huang

Numerical method for solving fractional convection diffusion equations with time-space variable coefficients

Guo Zhong
, Mingxu Yi^*
, Jun Huang

^*此作品的通讯作者

航空科学与工程学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

This paper contributes a numerical method for solving a class of fractional convection diffusion equations with time-space variable coefficients. By implementing Legendre polynomials and also the associated operational matrix, the considered equations will be reduced to the corresponding systems of algebraic equations, which can be solved by computer programming. Also, the error analysis of the suggested method to the exact solutions is provided. Finally, numerical examples are provided to show the efficiency of the presented method.

源语言	英语
页（从-至）	62-66
页数	5
期刊	IAENG International Journal of Applied Mathematics
卷	48
期	1
出版状态	已出版 - 1 2月 2018

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引用此

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abstract = "This paper contributes a numerical method for solving a class of fractional convection diffusion equations with time-space variable coefficients. By implementing Legendre polynomials and also the associated operational matrix, the considered equations will be reduced to the corresponding systems of algebraic equations, which can be solved by computer programming. Also, the error analysis of the suggested method to the exact solutions is provided. Finally, numerical examples are provided to show the efficiency of the presented method.",

keywords = "Fractional convection diffusion equations, Legendre polynomials, Numerical solution, Operational matrix, Sylvester equation",

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AU - Zhong, Guo

AU - Yi, Mingxu

AU - Huang, Jun

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N2 - This paper contributes a numerical method for solving a class of fractional convection diffusion equations with time-space variable coefficients. By implementing Legendre polynomials and also the associated operational matrix, the considered equations will be reduced to the corresponding systems of algebraic equations, which can be solved by computer programming. Also, the error analysis of the suggested method to the exact solutions is provided. Finally, numerical examples are provided to show the efficiency of the presented method.

AB - This paper contributes a numerical method for solving a class of fractional convection diffusion equations with time-space variable coefficients. By implementing Legendre polynomials and also the associated operational matrix, the considered equations will be reduced to the corresponding systems of algebraic equations, which can be solved by computer programming. Also, the error analysis of the suggested method to the exact solutions is provided. Finally, numerical examples are provided to show the efficiency of the presented method.

KW - Fractional convection diffusion equations

KW - Legendre polynomials

KW - Numerical solution

KW - Operational matrix

KW - Sylvester equation

UR - https://www.scopus.com/pages/publications/85041727222

M3 - 文章

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SN - 1992-9978

VL - 48

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EP - 66

JO - IAENG International Journal of Applied Mathematics

JF - IAENG International Journal of Applied Mathematics

IS - 1

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Numerical method for solving fractional convection diffusion equations with time-space variable coefficients

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