Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks

Abstract EN

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.