Simulation of the incompressible Navier–Stokes via integrated radial basis function based on finite difference scheme

Efficient Fourth-Order Weights in Kernel-Type Methods without Increasing the Stencil Size with an Application in a Time-Dependent Fractional PDE Problem

“…{r1 -> 2 h})} . {a1, a2, a3, b1, b2}) // Simplify; {b, A} = Simplify@ CoefficientArrays[{eq1, eq2, eq3, eq4, eq5}, {a1, a2, a3, b1, b2}]; sol = Simplify@(Inverse b1 -> sol2[ [4]], b2 -> sol2[ [5]]}, {h, 0, 4}] // FullSimplify)…”

“…Compared to other interpolation methods, RBFs provide more accurate approximations in high-dimensional spaces [2]. RBFs [3] (Chapter 3) have received interest from researchers in both engineering [4,5] and scientific domains [6,7]. They can also be employed for function approximation problems, where the target is to find a function that models the input-output relationship of a given system.…”