Solution of fractional-order Korteweg-de Vries and Burgers’ equations utilizing local meshless method

Abstract
This paper deals with the numerical solution utilizing local version of the meshless collocation method for time-fraction Korteweg de Vries, Burgers’ and Korteweg de Vries-Burgers’ equations. This technique generates sparse and well-conditioned coefficient matrices when applied on a set of uniform or scattered nodes. To check the accuracy of the proposed local meshless technique three test problems are solved...
Paper Details
Title
Solution of fractional-order Korteweg-de Vries and Burgers’ equations utilizing local meshless method
Published Date
Sep 1, 2021
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