A numerical method for solving distributed order diffusion equations

X. Y. Li; B. Y. Wu

doi:10.1016/j.aml.2015.10.009

A numerical method for solving distributed order diffusion equations

X. Y. Li
, B. Y. Wu^*

^*Corresponding author for this work

School of Mathematics

Changshu Institute of Technology

Research output: Contribution to journal › Article › peer-review

64 Scopus citations

Abstract

In this letter, a numerical method is proposed for solving distributed order diffusion equations. By using the classical numerical quadrature formulas, the distributed order diffusion equation is approximated by a multi-term time-fractional diffusion equation, which is then solved by the reproducing kernel method. The effectiveness of the numerical scheme is illustrated through two numerical examples.

Original language	English
Pages (from-to)	92-99
Number of pages	8
Journal	Applied Mathematics Letters
Volume	53
DOIs	https://doi.org/10.1016/j.aml.2015.10.009
State	Published - 1 Mar 2016

Keywords

Diffusion equations
Distributed order
Reproducing kernel method

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10.1016/j.aml.2015.10.009

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title = "A numerical method for solving distributed order diffusion equations",

abstract = "In this letter, a numerical method is proposed for solving distributed order diffusion equations. By using the classical numerical quadrature formulas, the distributed order diffusion equation is approximated by a multi-term time-fractional diffusion equation, which is then solved by the reproducing kernel method. The effectiveness of the numerical scheme is illustrated through two numerical examples.",

keywords = "Diffusion equations, Distributed order, Reproducing kernel method",

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T1 - A numerical method for solving distributed order diffusion equations

AU - Li, X. Y.

AU - Wu, B. Y.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - In this letter, a numerical method is proposed for solving distributed order diffusion equations. By using the classical numerical quadrature formulas, the distributed order diffusion equation is approximated by a multi-term time-fractional diffusion equation, which is then solved by the reproducing kernel method. The effectiveness of the numerical scheme is illustrated through two numerical examples.

AB - In this letter, a numerical method is proposed for solving distributed order diffusion equations. By using the classical numerical quadrature formulas, the distributed order diffusion equation is approximated by a multi-term time-fractional diffusion equation, which is then solved by the reproducing kernel method. The effectiveness of the numerical scheme is illustrated through two numerical examples.

KW - Diffusion equations

KW - Distributed order

KW - Reproducing kernel method

UR - https://www.scopus.com/pages/publications/84946397256

U2 - 10.1016/j.aml.2015.10.009

DO - 10.1016/j.aml.2015.10.009

M3 - 文章

AN - SCOPUS:84946397256

SN - 0893-9659

VL - 53

SP - 92

EP - 99

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

A numerical method for solving distributed order diffusion equations

Abstract

Keywords

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