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, Pade posttreatment, besides enlarging the domain of convergence, may be employed in order to get the exact solution from the truncated series solutions of PSM.
Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations
U. Filobello-Nino,H. Vázquez-Leal,B. Benhammouda,A. Perez-Sesma,V. Jiménez-Fernández,J. Cervantes-Pérez,A. Sarmiento-Reyes,J. Huerta-Chua,L. Morales-Mendoza,M. Gónzalez-Lee,A. Díaz-Sánchez,D. Pereyra-Diaz,R. López-Martínez
Published 2015 in Discrete Dynamics in Nature and Society
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- Publication year
2015
- Venue
Discrete Dynamics in Nature and Society
- Publication date
2015-02-23
- Fields of study
Mathematics
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