Numerical solution of Poisson's equation using a combination of logarithmic and multiquadric radial basis function networks

Abstract

This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a parameter r. Further, the condition number which arises in the process is discussed, and a comparison is made between them with our earlier studies and previously known ones. It is shown that the system is stable. Copyright © 2012 Mohammad Mehdi Mazarei and Azim Aminataei.