Global Thin Plate Spline Differential Quadrature as a Meshless Numerical Solution for Two Dimensional Viscous Burgers’ Equation

This paper is aimed to present the Global Thin Plate Spline Differential Quadrature method for numerical solution of viscous Burgers’ equation. mesh-less and high-order model introduced with motive diminishing computational effort dealing irregular geometries. Radial basis function used as a test determine coefficients derivatives in differential quadrature. The algorithm applied discretize solve two-dimensional equation both rectangular non-rectangular domains randomly distributed computation nodes. To evaluate capability model, several problems different boundary initial conditions Reynolds Numbers are solved obtained results compared analytical solutions other previous models. show higher accuracy solving Berger's fewer nodes models even domains.