An Iterative Method for Time-Fractional Swift-Hohenberg Equation

We study a type of iterative method and apply it to time-fractional Swift-Hohenberg equation with initial value. Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and sim...

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Main Authors: Wenjin Li, Yanni Pang
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/2405432
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spelling doaj-d9e1d432499b41839ab4b00adfa222a52021-07-02T14:03:41ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/24054322405432An Iterative Method for Time-Fractional Swift-Hohenberg EquationWenjin Li0Yanni Pang1School of Applied Mathematics, Jilin University of Finance and Economics, Changchun, Jilin 130117, ChinaSchool of Mathematics, Jilin University, Changchun, Jilin 130012, ChinaWe study a type of iterative method and apply it to time-fractional Swift-Hohenberg equation with initial value. Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time-fractional differential equations.http://dx.doi.org/10.1155/2018/2405432
collection DOAJ
language English
format Article
sources DOAJ
author Wenjin Li
Yanni Pang
spellingShingle Wenjin Li
Yanni Pang
An Iterative Method for Time-Fractional Swift-Hohenberg Equation
Advances in Mathematical Physics
author_facet Wenjin Li
Yanni Pang
author_sort Wenjin Li
title An Iterative Method for Time-Fractional Swift-Hohenberg Equation
title_short An Iterative Method for Time-Fractional Swift-Hohenberg Equation
title_full An Iterative Method for Time-Fractional Swift-Hohenberg Equation
title_fullStr An Iterative Method for Time-Fractional Swift-Hohenberg Equation
title_full_unstemmed An Iterative Method for Time-Fractional Swift-Hohenberg Equation
title_sort iterative method for time-fractional swift-hohenberg equation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2018-01-01
description We study a type of iterative method and apply it to time-fractional Swift-Hohenberg equation with initial value. Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time-fractional differential equations.
url http://dx.doi.org/10.1155/2018/2405432
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