A numerical method for KdV equation using collocation and radial basis functions

134 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A meshless method using the radial basis functions for numerical solution of the regularized long wave equation (2010, background): “For example see [11] and the references therein.”
A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions (2008, background): “Physical applications where solitons have been shown to emerge abound, they include condensed-matter physics, shallow-water waves, optical fibres and Josephson-junction oscillators, among others [27].”
A numerical method for solving the hyperbolic telegraph equation (2008, methodology): “Kansa’s method was recently extended to solve various ordinary and partial differential equations including 1D nonlinear Burgers’ equation [19] with shock wave, shallow water equations for tide and currents simulation [20], heat transfer problems [17], KdV equation [21], and free boundary problems [”