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Abstract:

Generalized power asymptotic expansions of solutions to differential equations that depend on parameters are investigated. The changing nature of these expansions as the parameters of the model cross critical values is discussed. An algorithm to identify these critical values and generate the generalized power series for distinct families of solutions is presented, and as an application the singular behavior of a cosmological model with a nonlinear dissipative fluid is obtained. This algorithm has been implemented in the computer algebra system Maple. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:The branching problem in generalized power solutions to differential equations
Autor:Jakubi, A.S.
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Palabras clave:Cosmological models; Generalized power series; Nonlinear ordinary differential equations; Symbolic computation; Algebra; Algorithms; Function evaluation; Mathematical models; Parameter estimation; Problem solving; Cosmological models; Generalized power series; Nonlinear ordinary differential equations; Symbolic computation; Differential equations
Año:2004
Volumen:67
Número:1-2
Página de inicio:45
Página de fin:54
DOI: http://dx.doi.org/10.1016/j.matcom.2004.05.007
Título revista:Mathematics and Computers in Simulation
Título revista abreviado:Math Comput Simul
ISSN:03784754
CODEN:MCSID
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784754_v67_n1-2_p45_Jakubi

Referencias:

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Citas:

---------- APA ----------
(2004) . The branching problem in generalized power solutions to differential equations. Mathematics and Computers in Simulation, 67(1-2), 45-54.
http://dx.doi.org/10.1016/j.matcom.2004.05.007
---------- CHICAGO ----------
Jakubi, A.S. "The branching problem in generalized power solutions to differential equations" . Mathematics and Computers in Simulation 67, no. 1-2 (2004) : 45-54.
http://dx.doi.org/10.1016/j.matcom.2004.05.007
---------- MLA ----------
Jakubi, A.S. "The branching problem in generalized power solutions to differential equations" . Mathematics and Computers in Simulation, vol. 67, no. 1-2, 2004, pp. 45-54.
http://dx.doi.org/10.1016/j.matcom.2004.05.007
---------- VANCOUVER ----------
Jakubi, A.S. The branching problem in generalized power solutions to differential equations. Math Comput Simul. 2004;67(1-2):45-54.
http://dx.doi.org/10.1016/j.matcom.2004.05.007