title: Analytical solutions for systems of partial differential-algebraic equations.
abstract: This work presents the application of the power series method (PSM) to find solutions of partial differential-algebraic equations (PDAEs). Two systems of index-one and index-three are solved to show that PSM can provide analytical solutions of PDAEs in convergent series form. What is more, we present the post-treatment of the power series solutions with the Laplace-Padé (LP) resummation method as a useful strategy to find exact solutions. The main advantage of the proposed methodology is that the procedure is based on a few straightforward steps and it does not generate secular terms or depends of a perturbation parameter.
authors.affiliation: Higher Colleges of Technology, Abu Dhabi Men's College, P.O. Box 25035, Abu Dhabi, United Arab Emirates.
authors.forename: Brahim
authors.initials: B
authors.lastname: Benhammouda
authors.affiliation: Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán S/N, 91000 Xalapa, Mexico.
authors.forename: Hector
authors.initials: H
authors.lastname: Vazquez-Leal
keywords: Laplace transform; Padé approximant; Analytical solutions; Partial differential-algebraic equations; Power series method