Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method

We devoted the numerical solution of one-dimensional Coupled Viscous Burgers’ (CVB) equations with RBF-QR method to show how it overcomes the ill-conditioning of coefficient matrix in comparison with GA and MQ RBFs for small values of shape parameters. Then we use a strategy to modify LOOCV for selecting optimal value of shape parameter. Accuracy of the method is obtained in terms of shape parameter, time step size and error norms. The numerical results of test problems confirm the proposed method along with shape parameter strategy is accurate and practically stable.