Waveform relaxation methods for fractional differential equations with the Caputo derivatives

Yao Lin Jiang; Xiao Li Ding

doi:10.1016/j.cam.2012.08.018

Waveform relaxation methods for fractional differential equations with the Caputo derivatives

Yao Lin Jiang
, Xiao Li Ding

数学与统计学院

Xi'an Jiaotong University

科研成果: 期刊稿件 › 文章 › 同行评审

43 引用（Scopus）

摘要

In this paper, we report new waveform relaxation methods for fractional differential equations with the Caputo derivatives. The convergence properties of the waveform relaxation methods are studied under linear and nonlinear conditions for the right-hand side of equations. Some convergent splittings are given. This is the first time for studying the waveform relaxation methods for fractional differential equations in references.

源语言	英语
页（从-至）	51-67
页数	17
期刊	Journal of Computational and Applied Mathematics
卷	238
期	1
DOI	https://doi.org/10.1016/j.cam.2012.08.018
出版状态	已出版 - 15 1月 2013

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10.1016/j.cam.2012.08.018

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title = "Waveform relaxation methods for fractional differential equations with the Caputo derivatives",

abstract = "In this paper, we report new waveform relaxation methods for fractional differential equations with the Caputo derivatives. The convergence properties of the waveform relaxation methods are studied under linear and nonlinear conditions for the right-hand side of equations. Some convergent splittings are given. This is the first time for studying the waveform relaxation methods for fractional differential equations in references.",

keywords = "Caputo derivatives, Convergence, Fractional differential equations, Waveform relaxation methods",

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year = "2013",

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AU - Ding, Xiao Li

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N2 - In this paper, we report new waveform relaxation methods for fractional differential equations with the Caputo derivatives. The convergence properties of the waveform relaxation methods are studied under linear and nonlinear conditions for the right-hand side of equations. Some convergent splittings are given. This is the first time for studying the waveform relaxation methods for fractional differential equations in references.

AB - In this paper, we report new waveform relaxation methods for fractional differential equations with the Caputo derivatives. The convergence properties of the waveform relaxation methods are studied under linear and nonlinear conditions for the right-hand side of equations. Some convergent splittings are given. This is the first time for studying the waveform relaxation methods for fractional differential equations in references.

KW - Caputo derivatives

KW - Convergence

KW - Fractional differential equations

KW - Waveform relaxation methods

UR - https://www.scopus.com/pages/publications/84867049052

U2 - 10.1016/j.cam.2012.08.018

DO - 10.1016/j.cam.2012.08.018

M3 - 文章

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JO - Journal of Computational and Applied Mathematics

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Waveform relaxation methods for fractional differential equations with the Caputo derivatives

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