The Space-Time Semi-Analytical Meshless Methods for Coupled Burgers<b>'</b> Equations

In this paper, a simple direct space-time semi-analytical meshless scheme is proposed for the numerical approximation of the coupled Burgers' equations. During the whole solution procedure, two different schemes are considered in terms of radial and non-radial basis functions. The time-dependent variable in the first radial scheme is directly considered as the normal space variables to formulate an "isotropic" space-time radial basis function. The second non-radial scheme considered relationship between time-dependent and space-dependent variables. Under such circumstance, we can get a one-step space-time meshless scheme. The numerical findings demonstrate that the proposed meshless schemes are precise, user-friendly, and effective in solving the coupled Burgers' equations.