Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations

Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations

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...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2015-01, Vol.2015 (2015), p.644-652-270
Hauptverfasser: 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
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Convergence (Mathematics)
Differential equations, Partial
Dynamical systems
Dynamics
Exact solutions
Expansion
Mathematical analysis
Mathematical research
Power series
Searching
Series
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2015/752523