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

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.