Power Series Solution for Solving Nonlinear Burgers-Type Equations

Power Series Solution for Solving Nonlinear Burgers-Type Equations

Power series solution method has been traditionally used to solve ordinary and partial linear differential equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations. In this work we use the method of power series to solve nonlin...

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Main Authors: E. López-Sandoval, A. Mello, J. J. Godina-Nava, A. R. Samana
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/712584
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spelling doaj-2409d6550b014b2696cb6151257463ad2020-11-25T00:57:39ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/712584712584Power Series Solution for Solving Nonlinear Burgers-Type EquationsE. López-Sandoval0A. Mello1J. J. Godina-Nava2A. R. Samana3Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, BrazilCentro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, BrazilDepartamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apartado Postal 14-740, 07000 México, DF, MexicoDepartamento de Ciências Exatas e Tecnológicas, Universidade Estadual de Santa Cruz, Campus Soane Nazaré de Andrade, Rodovia Jorge Amado, Km 16, Bairro Salobrinho, 45662-900 Ilhéus, BA, BrazilPower series solution method has been traditionally used to solve ordinary and partial linear differential equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations. In this work we use the method of power series to solve nonlinear partial differential equations. The method is applied to solve three versions of nonlinear time-dependent Burgers-type differential equations in order to demonstrate its scope and applicability.http://dx.doi.org/10.1155/2015/712584
collection DOAJ
language English
format Article
sources DOAJ
author E. López-Sandoval
A. Mello
J. J. Godina-Nava
A. R. Samana
spellingShingle E. López-Sandoval
A. Mello
J. J. Godina-Nava
A. R. Samana
Power Series Solution for Solving Nonlinear Burgers-Type Equations
Abstract and Applied Analysis
author_facet E. López-Sandoval
A. Mello
J. J. Godina-Nava
A. R. Samana
author_sort E. López-Sandoval
title Power Series Solution for Solving Nonlinear Burgers-Type Equations
title_short Power Series Solution for Solving Nonlinear Burgers-Type Equations
title_full Power Series Solution for Solving Nonlinear Burgers-Type Equations
title_fullStr Power Series Solution for Solving Nonlinear Burgers-Type Equations
title_full_unstemmed Power Series Solution for Solving Nonlinear Burgers-Type Equations
title_sort power series solution for solving nonlinear burgers-type equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2015-01-01
description Power series solution method has been traditionally used to solve ordinary and partial linear differential equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations. In this work we use the method of power series to solve nonlinear partial differential equations. The method is applied to solve three versions of nonlinear time-dependent Burgers-type differential equations in order to demonstrate its scope and applicability.
url http://dx.doi.org/10.1155/2015/712584
work_keys_str_mv AT elopezsandoval powerseriessolutionforsolvingnonlinearburgerstypeequations
AT amello powerseriessolutionforsolvingnonlinearburgerstypeequations
AT jjgodinanava powerseriessolutionforsolvingnonlinearburgerstypeequations
AT arsamana powerseriessolutionforsolvingnonlinearburgerstypeequations
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