Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method

Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method

In this study, two-dimensional Burgers' and coupled Burgers' equations are examined by the residual power series method. This method provides series solutions which are rapidly convergent and their components are easily calculable by Mathematica. When the solution is polynomial, the method...

Full description

Bibliographic Details
Main Authors: Gulsen Selahattin, Inc Mustafa, Nabi Harivan R.
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ITM Web of Conferences
Online Access:https://doi.org/10.1051/itmconf/20182201044
id doaj-0965ff621f874e1b8c603aee90ffe75a
record_format Article
spelling doaj-0965ff621f874e1b8c603aee90ffe75a2021-02-02T07:28:43ZengEDP SciencesITM Web of Conferences2271-20972018-01-01220104410.1051/itmconf/20182201044itmconf_cmes2018_01044Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series MethodGulsen SelahattinInc MustafaNabi Harivan R.In this study, two-dimensional Burgers' and coupled Burgers' equations are examined by the residual power series method. This method provides series solutions which are rapidly convergent and their components are easily calculable by Mathematica. When the solution is polynomial, the method gives the exact solution using Taylor series expansion. The results display that the method is more efficient, applicable and accuracy and the graphical consequences clearly present the reliability of the method.https://doi.org/10.1051/itmconf/20182201044
collection DOAJ
language English
format Article
sources DOAJ
author Gulsen Selahattin
Inc Mustafa
Nabi Harivan R.
spellingShingle Gulsen Selahattin
Inc Mustafa
Nabi Harivan R.
Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method
ITM Web of Conferences
author_facet Gulsen Selahattin
Inc Mustafa
Nabi Harivan R.
author_sort Gulsen Selahattin
title Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method
title_short Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method
title_full Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method
title_fullStr Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method
title_full_unstemmed Approximate Solutions of Two-Dimensional Burgers' and Coupled Burgers' Equations by Residual Power Series Method
title_sort approximate solutions of two-dimensional burgers' and coupled burgers' equations by residual power series method
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2018-01-01
description In this study, two-dimensional Burgers' and coupled Burgers' equations are examined by the residual power series method. This method provides series solutions which are rapidly convergent and their components are easily calculable by Mathematica. When the solution is polynomial, the method gives the exact solution using Taylor series expansion. The results display that the method is more efficient, applicable and accuracy and the graphical consequences clearly present the reliability of the method.
url https://doi.org/10.1051/itmconf/20182201044
work_keys_str_mv AT gulsenselahattin approximatesolutionsoftwodimensionalburgersandcoupledburgersequationsbyresidualpowerseriesmethod
AT incmustafa approximatesolutionsoftwodimensionalburgersandcoupledburgersequationsbyresidualpowerseriesmethod
AT nabiharivanr approximatesolutionsoftwodimensionalburgersandcoupledburgersequationsbyresidualpowerseriesmethod
_version_ 1724299289177358336

Similar Items