Title : ( Numerical solution of KdV-Burgers’ equation using meshless method of lines )
Authors: Hossein Gholami Chahkand , Ali Reza Soheili ,
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Abstract
The present paper deals with the numerical solution of the nonlinear one dimensional KdV-Burgers’(KdVB) equation using meshless method of lines. This method employs collocation approximation multiquadric radial basis function for spatial derivatives and converts KdVB equation to a system of nonlinear ordinary differential equations (ODEs) and finally uses the fourth-order Rung-Kutta scheme to solve system of ODEs. The numerical results are presented to examine accuracy of the proposed method.
Keywords
, KdV-Burgers’ equation, Method of lines, Multiquadric radial basis function, Fourth-order Runge-Kutta
@inproceedings{paperid:1091882,
author = {Gholami Chahkand, Hossein and Soheili, Ali Reza},
title = {Numerical solution of KdV-Burgers’ equation using meshless method of lines},
booktitle = {53 امین کنفرانس سالانه ریاضی ایران},
year = {2022},
location = {بهشهر, IRAN},
keywords = {KdV-Burgers’ equation; Method of lines; Multiquadric radial basis function; Fourth-order Runge-Kutta},
}
%0 Conference Proceedings
%T Numerical solution of KdV-Burgers’ equation using meshless method of lines
%A Gholami Chahkand, Hossein
%A Soheili, Ali Reza
%J 53 امین کنفرانس سالانه ریاضی ایران
%D 2022
