A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation

In this paper, a new Sumudu transform iterative method is established and successfully applied to find the approximate analytical solutions for time-fractional Cauchy reaction–diffusion equations. The approach is easy to implement and understand. The numerical results show that the proposed method i...

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Detalles Bibliográficos
Autores principales: Wang, Kangle, Liu, Sanyang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4920746/
https://www.ncbi.nlm.nih.gov/pubmed/27386314
http://dx.doi.org/10.1186/s40064-016-2426-8
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author Wang, Kangle
Liu, Sanyang
author_facet Wang, Kangle
Liu, Sanyang
author_sort Wang, Kangle
collection PubMed
description In this paper, a new Sumudu transform iterative method is established and successfully applied to find the approximate analytical solutions for time-fractional Cauchy reaction–diffusion equations. The approach is easy to implement and understand. The numerical results show that the proposed method is very simple and efficient.
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spelling pubmed-49207462016-07-06 A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation Wang, Kangle Liu, Sanyang Springerplus Research In this paper, a new Sumudu transform iterative method is established and successfully applied to find the approximate analytical solutions for time-fractional Cauchy reaction–diffusion equations. The approach is easy to implement and understand. The numerical results show that the proposed method is very simple and efficient. Springer International Publishing 2016-06-24 /pmc/articles/PMC4920746/ /pubmed/27386314 http://dx.doi.org/10.1186/s40064-016-2426-8 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wang, Kangle
Liu, Sanyang
A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
title A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
title_full A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
title_fullStr A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
title_full_unstemmed A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
title_short A new Sumudu transform iterative method for time-fractional Cauchy reaction–diffusion equation
title_sort new sumudu transform iterative method for time-fractional cauchy reaction–diffusion equation
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4920746/
https://www.ncbi.nlm.nih.gov/pubmed/27386314
http://dx.doi.org/10.1186/s40064-016-2426-8
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