Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations-Reference-Cited by-同舟云学术

Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations

Published:2015 Issue: Volume:2015 Page:1-9
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Filobello-Nino U.¹,Vazquez-Leal H.¹,Benhammouda B.²,Perez-Sesma A.¹,Jimenez-Fernandez V. M.¹,Cervantes-Perez J.¹,Sarmiento-Reyes A.³,Huerta-Chua J.⁴,Morales-Mendoza L. J.⁵,Gonzalez-Lee M.⁵,Diaz-Sanchez A.³,Pereyra-Díaz D.¹,López-Martínez R.⁶

Affiliation:

1. Facultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico

2. Higher Colleges of Technology, Abu Dhabi Men’s College, P.O. Box 25035, Abu Dhabi, UAE

3. Instituto Nacional de Astrofísica, Óptica y Electrónica, Luis Enrique Erro 1, 72840 Santa María Tonantzintla, PUE, Mexico

4. Facultad de Ingeniería Civil, Universidad Veracruzana, Venustiano Carranza S/N, Colonia Revolución, 93390 Poza Rica, VER, Mexico

5. Departamento de Ingeniería Electrónica, Universidad Veracruzana, Venustiano Carranza S/N, Colonia Revolución, 93390 Poza Rica, VER, Mexico

6. Facultad de Matemáticas, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, VER, Mexico

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.

Funder

Consejo Nacional de Ciencia y Tecnología

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/752523.pdf

Reference59 articles.

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3. Approximate solutions for the generalized KdV–Burgers' equation by He's variational iteration method