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On Approximation and Numerical Solution of Fredholm-Hammerstein Integral Equations Using Multiquadric Quasi-interpolation

DOI: 10.5899/2012/cna-00112

Keywords: Radial basis function , Quasi-interpolation , Hammerstein integral equations , Numerical method

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Abstract:

Nonlinear integral equations are studied in relation to vehicular traffic, biology, the theory of optimal control, economics, etc. In this paper, we use a numerical method for solving nonlinear Fredholm-Hammerstein integral equations by using multiquadric quasi-interpolation method. Multiquadric quasi-interpolation is an useful instrument in approximation theory and its applications.

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