Abstract and Applied Analysis

Power Series Solution for Solving Nonlinear Burgers-Type Equations

E. López-Sandoval, A. Mello, J. J. Godina-Nava, and A. R. Samana

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2015, Special Issue (2015), Article ID 712584, 9 pages.

Dates
First available in Project Euclid: 13 October 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1444742648

Digital Object Identifier
doi:10.1155/2015/712584

Mathematical Reviews number (MathSciNet)
MR3407012

Zentralblatt MATH identifier
1343.35209

Citation

López-Sandoval, E.; Mello, A.; Godina-Nava, J. J.; Samana, A. R. Power Series Solution for Solving Nonlinear Burgers-Type Equations. Abstr. Appl. Anal. 2015, Special Issue (2015), Article ID 712584, 9 pages. doi:10.1155/2015/712584. https://projecteuclid.org/euclid.aaa/1444742648


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