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Numerical solution of elliptic PDEs using radial basis function networks and comparison between RBFN and Adomian method. (English) Zbl 1153.65371

Summary: This paper presents numerical solution of elliptic partial differential equations (Poisson’s equation) using direct and indirect radial basis function networks. These methods use multiquadric radial basis function approximation scheme. Also, a comparison is made between these methods with Adomian double decomposition method.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65L10 Numerical solution of boundary value problems involving ordinary differential equations
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