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Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces - MaRDI portal

Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces (Q432819)

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scientific article; zbMATH DE number 6053137
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English
Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces
scientific article; zbMATH DE number 6053137

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    Convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces (English)
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    4 July 2012
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    The authors present the convergence of the collocation method and the mechanical quadrature method for systems of singular integro-differential equations in Lebesgue spaces. The equations are defined on an arbitrary smooth closed contour. The convergence of these methods in Lebesgue spaces is proved. A numerical example that illustrates the performance of the collocation method and the mechanical quadrature method is given.
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    collocation method
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    Lebesgue spaces
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    systems of singular integro-differential equations
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    Fejér points
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    convergence
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    mechanical quadrature method
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    numerical example
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