Meshfree Collocation Method for the Numerical Solution of ‎Higher Order KdV Equation

In this paper, an efficient meshfree collocation scheme based on meshfree radial basis function is implemented for the numerical solution of ۷th-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||۲ error norms.

کلیدواژه ها:

Meshfree method ، Radial basis functions ، ۷th-order KdV equation ، ۷th-order Lax equation