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Justification of the Galerkin method for one class of singular integro-differential equations on an interval - MaRDI portal

Justification of the Galerkin method for one class of singular integro-differential equations on an interval (Q2378856)

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Justification of the Galerkin method for one class of singular integro-differential equations on an interval
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    Justification of the Galerkin method for one class of singular integro-differential equations on an interval (English)
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    14 January 2009
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    The author investigates a justification of a Galerkin method for solving a linear singular integro-differential equations with Cauchy kernel on an interval based on the approximation of the exact solution by using Legendre polynomials.
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    Galerkin method
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    Legendre polynomials
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    Fourier series
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    Cauchy-Bunyakovskii inequality
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    linear singular integro-differential equations
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    Cauchy kernel
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