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Fourier approximation for integral equations on the real line - MaRDI portal

Fourier approximation for integral equations on the real line (Q1036464)

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scientific article; zbMATH DE number 5632543
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Fourier approximation for integral equations on the real line
scientific article; zbMATH DE number 5632543

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    Fourier approximation for integral equations on the real line (English)
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    13 November 2009
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    Summary: Based on the Gauss quadrature method a class of integral equations having an unknown periodic solution on the real line is investigated, by using Fourier series expansion for the solution of the integral equation and applying a process for changing the interval to the finite interval (\( - 1, 1\)), the Chebychev weights become appropriate and examples indicate the high accuracy and very good approximation to the solution of the integral.
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    Gauss quadrature method
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    integral equations
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    periodic solution
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    Fourier series expansion
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