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Your search keyword '"Fourier series"' showing total 2 results
2 results on '"Fourier series"'

1. Improving the convergence order of the regularization method for Fredholm integral equations of the second kind.

Author

Debbar, R., Guebbai, H., and Zereg, Z.

Subjects
*STOCHASTIC convergence, *MATHEMATICAL regularization, *FREDHOLM equations, *INTEGRAL equations, *NUMERICAL analysis, *APPROXIMATION theory
Abstract

We build a numerical approximation method, for Fredholm integral equation solution of the second type. This method is based on the regularization by convolution and Fourier series expansion. It provides a better convergence order. [ABSTRACT FROM AUTHOR]

Published
2016
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2. A new degenerate kernel method for a weakly singular integral equation.

Author

Guebbai, Hamza and Grammont, Laurence

Subjects
*KERNEL functions, *SINGULAR integrals, *INTEGRAL equations, *APPROXIMATION theory, *FOURIER series, *MATHEMATICAL analysis
Abstract

Abstract: In order to compute an approximate solution of a weakly singular integral equation, we first regularize the kernel and then truncate the associated Fourier series. Applications to Green and Abel operators are given. [Copyright &y& Elsevier]

Published
2014
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