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

School of Mathematics and Statistics

Xi'an Jiaotong University

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

43 Scopus citations

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.

Original language	English
Pages (from-to)	51-67
Number of pages	17
Journal	Journal of Computational and Applied Mathematics
Volume	238
Issue number	1
DOIs	https://doi.org/10.1016/j.cam.2012.08.018
State	Published - 15 Jan 2013

Keywords

Caputo derivatives
Convergence
Fractional differential equations
Waveform relaxation methods

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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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T1 - Waveform relaxation methods for fractional differential equations with the Caputo derivatives

AU - Jiang, Yao Lin

AU - Ding, Xiao Li

PY - 2013/1/15

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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

AN - SCOPUS:84867049052

SN - 0377-0427

VL - 238

SP - 51

EP - 67

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

Waveform relaxation methods for fractional differential equations with the Caputo derivatives

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Keywords

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