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

Autor: Mohammad Mehdi Mazarei, Azim Aminataei
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2012 (2012)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2012/286391
Popis: 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.
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