Variable shape parameter strategy in local radial basis functions collocation method for solving the 2D nonlinear coupled Burgers' equations (Q2413125)

The authors utilize several variable shape parameter (VSP) strategies for kernel-based trial functions when applying the local radial basis function collocation method (LRBFCM) to solve the two-dimensional nonlinear coupled Burgers' equations with Dirichlet and mixed boundary conditions. Numerical examples show that these variable shape parameter strategies are more efficient than constant ones for various values of the Reynolds number.