%0 Journal Article %T Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks %A Mohammad Mehdi Mazarei %A Azim Aminataei %J Journal of Applied Mathematics %D 2012 %I Hindawi Publishing Corporation %R 10.1155/2012/286391 %X 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 . 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. %U http://www.hindawi.com/journals/jam/2012/286391/