Singularity preserving Galerkin methods for weakly singular Fredholm integral equations (Q1347018)

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scientific article; zbMATH DE number 739387
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Singularity preserving Galerkin methods for weakly singular Fredholm integral equations
scientific article; zbMATH DE number 739387

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    Singularity preserving Galerkin methods for weakly singular Fredholm integral equations (English)
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    2 April 1995
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    A singularity preserving projection approximation for the solution of the equation \(y(s) - \int^ 1_ 0 k(s,t) y(t)dt = f(x)\), \(0 \leq s \leq 1\), having an optimal order of convergence, is presented and a numerical example is given to illustrate the numerical accuracy of the current method in comparison with the conventional Galerkin method.
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    weakly singular Fredholm integral equations
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    singularity preserving projection
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    convergence
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    numerical example
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    Galerkin method
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