Analytical study for time and time-space fractional Burgers’ equation

Analytical study for time and time-space fractional Burgers’ equation

Abstract In this paper, the variational iteration method (VIM) is applied to solve the time and space-time fractional Burgers’ equation for various initial conditions. VIM solutions are computed for the fractional Burgers’ equation to show the behavior of VIM solutions as the fractional derivative p...

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Main Authors: KM Saad, Eman HF Al-Sharif
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Advances in Difference Equations
Subjects:
variational iteration method
space-time fractional Burgers equation
different initial values
Online Access:http://link.springer.com/article/10.1186/s13662-017-1358-0
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spelling doaj-4c43511b24044444bcffb3af33191b4f2020-11-25T00:00:35ZengSpringerOpenAdvances in Difference Equations1687-18472017-09-012017111510.1186/s13662-017-1358-0Analytical study for time and time-space fractional Burgers’ equationKM Saad0Eman HF Al-Sharif1Department of Mathematics, College of Arts and Sciences, Najran UniversityDepartment of Mathematics, College of Arts and Sciences, Najran UniversityAbstract In this paper, the variational iteration method (VIM) is applied to solve the time and space-time fractional Burgers’ equation for various initial conditions. VIM solutions are computed for the fractional Burgers’ equation to show the behavior of VIM solutions as the fractional derivative parameter is changed. The results obtained by VIM are compared with exact solutions and also with expansions of the exact solutions. VIM solutions are found to be in excellent agreement with these exact solutions.http://link.springer.com/article/10.1186/s13662-017-1358-0variational iteration methodspace-time fractional Burgers equationdifferent initial values
collection DOAJ
language English
format Article
sources DOAJ
author KM Saad
Eman HF Al-Sharif
spellingShingle KM Saad
Eman HF Al-Sharif
Analytical study for time and time-space fractional Burgers’ equation
Advances in Difference Equations
variational iteration method
space-time fractional Burgers equation
different initial values
author_facet KM Saad
Eman HF Al-Sharif
author_sort KM Saad
title Analytical study for time and time-space fractional Burgers’ equation
title_short Analytical study for time and time-space fractional Burgers’ equation
title_full Analytical study for time and time-space fractional Burgers’ equation
title_fullStr Analytical study for time and time-space fractional Burgers’ equation
title_full_unstemmed Analytical study for time and time-space fractional Burgers’ equation
title_sort analytical study for time and time-space fractional burgers’ equation
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2017-09-01
description Abstract In this paper, the variational iteration method (VIM) is applied to solve the time and space-time fractional Burgers’ equation for various initial conditions. VIM solutions are computed for the fractional Burgers’ equation to show the behavior of VIM solutions as the fractional derivative parameter is changed. The results obtained by VIM are compared with exact solutions and also with expansions of the exact solutions. VIM solutions are found to be in excellent agreement with these exact solutions.
topic variational iteration method
space-time fractional Burgers equation
different initial values
url http://link.springer.com/article/10.1186/s13662-017-1358-0
work_keys_str_mv AT kmsaad analyticalstudyfortimeandtimespacefractionalburgersequation
AT emanhfalsharif analyticalstudyfortimeandtimespacefractionalburgersequation
_version_ 1725444422091407360

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