Analytical solutions for systems of singular partial differential-algebraic equations
type: Item
instance of: scholarly article
title: Analytical solutions for systems of singular partial differential-algebraic equations
zbMATH Open document ID: 1418.35279
DOI: 10.1155/2015/752523
author: U. Filobello-Nino
author: Brahim Benhammouda
author: A. Perez-Sesma
author: J. Cervantes-Perez
author: L. J. Morales-Mendoza
author: M. Gonzalez-Lee
author: H. Vázquez-Leal
author: V. M. Jiménez-Fernández
author: A. Sarmiento-Reyes
author: J. Huerta-Chua
author: A. Díaz-Sanchez
author: D. Pereyra-Díaz
author: Raquiel R. López-Martínez
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: This paper proposes power series method (PSM) in order to find solutions for singular partial differential-algebraic equations (SPDAEs). We will solve three examples to show that PSM method can be used to search for analytical solutions of SPDAEs. What is more, we will see that, in some cases, Padé posttreatment, besides enlarging the domain of convergence, may be employed in order to get the exact solution from the truncated series solutions of PSM.
Mathematics Subject Classification ID: 35M33
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35G61
zbMATH DE Number: 7025483
Wikidata QID: Q59105423
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/752523
OpenAlex ID: W2085163173
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description: scientific article; zbMATH DE number 7025483