Title of article
Meshfree Collocation Method for the Numerical Solution of Higher Order KdV Equation
Author/Authors
Samad, Abdul Department of Mathematics - School of Mathematics - Northwest University, Xian, China , Muhammad, Jan Department of Mathematics - School of Mathematics - Northwest University, Xian, China
Pages
10
From page
422
To page
431
Abstract
In this paper, an efficient meshfree collocation scheme based on meshfree radial basis function is implemented for the
numerical solution of 7th-order Korteweg-de Vires (KdV) equations. The demand of meshless techniques increment because of its
meshless nature and simplicity of usage in higher dimensions. The proposed numerical scheme is tested on several test problems.
The efficiency and accuracy of the suggested scheme is analyzed via ||L|| and ||L||2 error norms.
Keywords
Meshfree method , Radial basis functions , 7th-order KdV equation , 7th-order Lax equation
Journal title
Journal of Applied and Computational Mechanics
Serial Year
2021
Record number
2558269
Link To Document