A robust method to estimate suitable values for the parameters of general MQ-RBF to solve SWEs

Numerical simulation of Shallow Water Equations (SWEs) is an important requirement of hydraulic, river and coastal engineers for design purposes. Radial Basis Function based Differential Quadrature (RBF-DQ) is a meshfree and highly convergent method, but its widespread application is hampered by lacking a suitable scheme to objectively select the shape parameters incorporated in the RBFs. In this research, method of cross validation is used to estimate good values for the parameters and two numerical examples concerning with solving SWEs via RBF-DQ using general Multiquadric (MQ) RBF are carried out. The results show that the devised method is robust in estimating the parameters.

کلیدواژه ها:

Shallow water equations ، Radial basis function ، Differential quadrature ، Multiquadric