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
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
