Ahmed Taik: Radial Basis Fonction Methods for Numerical Solution of PDEs



We present the meshless method based on the introduction of Radial Basic Functions (RBF). In contrast with the most conventional methods used : the finite element method finite (FEM), finite volume method (FVM), the method of finite differences (MDF), this method avoids the most sensitive step to implement a numerical method, namely the realization of the mesh, especially when it comes to a complex geometry and when the domain is in 2D and 3D. This method was introduced in 1990 by Edward J. Kansa for solving partial dfferential equations and ordinary differential equations.