The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations

The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations

There are three main objectives of this work; to apply the Dual Reciprocity Boundary Element Method (DRBEM) to problems under the Burgers' equations category, to search for an optimal parameter when utilizing the Multiquadric Radial Basis Function (MQRBF) and to the numerical effect on final so...

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Main Authors: K Chanthawara, S Kaennakham, W Toutip
Format: Article
Language:English
Published: Multi-Science Publishing 2016-09-01
Series:International Journal of Multiphysics
Online Access:http://journal.multiphysics.org/index.php/IJM/article/view/253
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spelling doaj-1f2b0e2740b9453f8210bb26ce29e66e2020-11-24T23:13:54ZengMulti-Science PublishingInternational Journal of Multiphysics1750-95482048-39612016-09-018210.1260/1750-9548.8.2.123265The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equationsK Chanthawara0S Kaennakham1W Toutip2Department of Mathematics, Faculty of Science, Khonkaen University, Khonkaen, Thailand, 40002.School of Mathematics, Institute of Science, Suranaree University of Technology, Nakhonratchasima, Thailand, 30000.Department of Mathematics, Faculty of Science, Khonkaen University, Khonkaen, Thailand, 40002.There are three main objectives of this work; to apply the Dual Reciprocity Boundary Element Method (DRBEM) to problems under the Burgers' equations category, to search for an optimal parameter when utilizing the Multiquadric Radial Basis Function (MQRBF) and to the numerical effect on final solution when increasing the Reynolds number(Re). Three examples described by Burgers' equations in two dimensions were selected and it was found that DRBEM can perform well with MQRBF varies between 1.1 and 1.5. Also, it was demonstrated by the examples that the solutions remained in good quality when increasing the Reynolds number.http://journal.multiphysics.org/index.php/IJM/article/view/253
collection DOAJ
language English
format Article
sources DOAJ
author K Chanthawara
S Kaennakham
W Toutip
spellingShingle K Chanthawara
S Kaennakham
W Toutip
The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations
International Journal of Multiphysics
author_facet K Chanthawara
S Kaennakham
W Toutip
author_sort K Chanthawara
title The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations
title_short The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations
title_full The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations
title_fullStr The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations
title_full_unstemmed The dual reciprocity boundary element method (DRBEM) with multiquadric radial basis function for coupled burgers' equations
title_sort dual reciprocity boundary element method (drbem) with multiquadric radial basis function for coupled burgers' equations
publisher Multi-Science Publishing
series International Journal of Multiphysics
issn 1750-9548
2048-3961
publishDate 2016-09-01
description There are three main objectives of this work; to apply the Dual Reciprocity Boundary Element Method (DRBEM) to problems under the Burgers' equations category, to search for an optimal parameter when utilizing the Multiquadric Radial Basis Function (MQRBF) and to the numerical effect on final solution when increasing the Reynolds number(Re). Three examples described by Burgers' equations in two dimensions were selected and it was found that DRBEM can perform well with MQRBF varies between 1.1 and 1.5. Also, it was demonstrated by the examples that the solutions remained in good quality when increasing the Reynolds number.
url http://journal.multiphysics.org/index.php/IJM/article/view/253
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AT skaennakham dualreciprocityboundaryelementmethoddrbemwithmultiquadricradialbasisfunctionforcoupledburgersequations
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