حل عددي معادله كورتگ دوريس برگرز با استفاده از تابع پايه شعاعي

Numerical solution of the KdVB equation using radial basis functions

This paper formulates a radial basis functions (RBFs) collocation method for the numerical solution of the nonlinear Korteweg-de Vries Burgers’ (KdVB) equation. Three radial basis functions are used in this method. The accuracy of the method is assessed in terms of the errors in and root mean square (RMS), number of nodes in the domain of influence, parameter dependent RBFs time and spatial steps length. Numerical example is given to confirm the good accuracy of the method for solving complicated nonlinear partial differential equations. In this work one test problem is studied.