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Numerical solution of weakly singular integrodifferential equations on closed smooth contour in Lebesgue spaces - MaRDI portal

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Numerical solution of weakly singular integrodifferential equations on closed smooth contour in Lebesgue spaces (Q1760658)

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scientific article; zbMATH DE number 6106185
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English
Numerical solution of weakly singular integrodifferential equations on closed smooth contour in Lebesgue spaces
scientific article; zbMATH DE number 6106185

    Statements

    Numerical solution of weakly singular integrodifferential equations on closed smooth contour in Lebesgue spaces (English)
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    15 November 2012
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    Summary: We deal with the justification of solvability conditions and properties of solutions for weakly singular integro-differential equations by collocation and mechanical quadrature methods. The equations are defined on an arbitrary smooth closed contour of the complex plane. Error estimates and convergence for the investigated methods are established in Lebesgue spaces.
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    justification of solvability conditions
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    properties of solutions
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    weakly singular integro-differential equations
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