The 5th Seminar of Numerical Analysis and its Applications, , 2014-09-09

Title : ( A RBFs meshless method of lines for the numerical solution of Burgers' equation )

Authors: Ali Reza Soheili , مریم عرب عامری , مهدیار برفه ای ,

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A meshless method of lines is proposed for the numerical solution of Burgers' equations. After approximating spatial derivatives of equation by RBFs the resulting system is converted to a smaller system of ordinary differential equations by decomposing of interior and boundary centers and replacing expansion coefficients of boundary centers as a function of interior ones. The numerical results compete very well with the analytical solutions.

Keywords

, Meshless Method of Lines, Radial basis functions, Collocation method, Burgers'
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@inproceedings{paperid:1043052,
author = {Soheili, Ali Reza and مریم عرب عامری and مهدیار برفه ای},
title = {A RBFs meshless method of lines for the numerical solution of Burgers' equation},
booktitle = {The 5th Seminar of Numerical Analysis and its Applications,},
year = {2014},
location = {رفسنجان, IRAN},
keywords = {Meshless Method of Lines; Radial basis functions; Collocation method; Burgers' Equations.},
}

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%0 Conference Proceedings
%T A RBFs meshless method of lines for the numerical solution of Burgers' equation
%A Soheili, Ali Reza
%A مریم عرب عامری
%A مهدیار برفه ای
%J The 5th Seminar of Numerical Analysis and its Applications,
%D 2014

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