Solving Cauchy reaction-diffusion equation by using Picard method

In this paper, Picard method is proposed to solve the Cauchy reaction-diffusion equation with fuzzy initial condition under generalized H-differentiability. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. Some examples are investigated to ve...

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Detalles Bibliográficos
Autor principal: Behzadi, Shadan Sadigh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2013
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3724989/
https://www.ncbi.nlm.nih.gov/pubmed/23961376
http://dx.doi.org/10.1186/2193-1801-2-108
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author Behzadi, Shadan Sadigh
author_facet Behzadi, Shadan Sadigh
author_sort Behzadi, Shadan Sadigh
collection PubMed
description In this paper, Picard method is proposed to solve the Cauchy reaction-diffusion equation with fuzzy initial condition under generalized H-differentiability. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. Some examples are investigated to verify convergence results and to illustrate the efficiently of the method. Also, we obtain the switching points in examples.
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spelling pubmed-37249892013-08-01 Solving Cauchy reaction-diffusion equation by using Picard method Behzadi, Shadan Sadigh Springerplus Research In this paper, Picard method is proposed to solve the Cauchy reaction-diffusion equation with fuzzy initial condition under generalized H-differentiability. The existence and uniqueness of the solution and convergence of the proposed method are proved in details. Some examples are investigated to verify convergence results and to illustrate the efficiently of the method. Also, we obtain the switching points in examples. Springer International Publishing 2013-03-13 /pmc/articles/PMC3724989/ /pubmed/23961376 http://dx.doi.org/10.1186/2193-1801-2-108 Text en © Sadigh Behzadi; licensee Springer. 2013 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research
Behzadi, Shadan Sadigh
Solving Cauchy reaction-diffusion equation by using Picard method
title Solving Cauchy reaction-diffusion equation by using Picard method
title_full Solving Cauchy reaction-diffusion equation by using Picard method
title_fullStr Solving Cauchy reaction-diffusion equation by using Picard method
title_full_unstemmed Solving Cauchy reaction-diffusion equation by using Picard method
title_short Solving Cauchy reaction-diffusion equation by using Picard method
title_sort solving cauchy reaction-diffusion equation by using picard method
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3724989/
https://www.ncbi.nlm.nih.gov/pubmed/23961376
http://dx.doi.org/10.1186/2193-1801-2-108
work_keys_str_mv AT behzadishadansadigh solvingcauchyreactiondiffusionequationbyusingpicardmethod

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