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Method for solution of convolution-type integral equations

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Ukrainian Mathematical Journal Aims and scope

Abstract

The spectral method for solution of convolution-type integral equations in the basis of Chebyshev-Laguerre polynomials is reduced to the representation in matrix form. This enables one to construct algorithms of reconstruction of input signals directly from the discrete values of the output signals and to estimate the influence of an input data error on the precision of reconstruction of a signal.

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References

  1. A. S. Apartsin, “Digitization methods of regularization of some integral equations of the first kind,” in:Methods of Numerical Analysis and Optimization [in Russian], Nauka, Novosibirsk (1987), pp. 263–297.

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  2. Ya. D. P'yanilo, “Solution of convolution-type equations in the basis of Chebyshev-Laguerre polynomials,”Dopov. Akad. Nauk Ukr RSR, Ser. A, No. 1, 36–39 (1990).

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Authors and Affiliations

  1. Center of Mathematical Simulation, Institute of Applied Problems in Mechanics and Mathematics, Ukrainian Academy of Sciences, Lvov

    Ya. D. P'yanilo

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  1. Ya. D. P'yanilo
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 12, pp. 1721–1723, December, 1994.

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P'yanilo, Y.D. Method for solution of convolution-type integral equations. Ukr Math J 46, 1914–1917 (1994). https://doi.org/10.1007/BF01063176

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  • DOI: https://doi.org/10.1007/BF01063176

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