Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations

Autor: U. Filobello-Nino, H. Vazquez-Leal, B. Benhammouda, A. Perez-Sesma, V. M. Jimenez-Fernandez, J. Cervantes-Perez, A. Sarmiento-Reyes, J. Huerta-Chua, L. J. Morales-Mendoza, M. Gonzalez-Lee, A. Diaz-Sanchez, D. Pereyra-Díaz, R. López-Martínez
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2015 (2015)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2015/752523
Popis: 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.
Databáze: Directory of Open Access Journals