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

Mohammad Mehdi Mazarei and Azim Aminataei

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/286391

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:286391

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