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- Title
Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations.
- Authors
Filobello-Nino, U.; Vazquez-Leal, H.; Benhammouda, B.; Perez-Sesma, A.; Jimenez-Fernandez, V. M.; Cervantes-Perez, J.; Sarmiento-Reyes, A.; Huerta-Chua, J.; Morales-Mendoza, L. J.; Gonzalez-Lee, M.; Diaz-Sanchez, A.; Pereyra-Díaz, D.; López-Martínez, R.
- Abstract
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.
- Subjects
SYSTEMS theory; MATHEMATICAL singularities; PARTIAL differential equations; PROBLEM solving; STOCHASTIC convergence
- Publication
Discrete Dynamics in Nature & Society, 2015, Vol 2015, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2015/752523