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An approximation method in a boundary value problem with partial derivatives

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Abstract

The possibility is studied of jointly applying the Laplace transform and the a-method of V. K. Dzyadyk to construct an approximate solution of a boundary value problem in the case of a linear partial differential equation with coefficients of polynomial-type, depending on one independent variable. The existence and uniqueness is established of an approximate solution in the chosen form. An asymptotic evaluation of the approximation error is obtained.

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Literature cited

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Authors and Affiliations

  1. Dnepropetrovsk State University, USSR

    E. S. Sinaiskii

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  1. E. S. Sinaiskii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 812–816, June, 1990.

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Sinaiskii, E.S. An approximation method in a boundary value problem with partial derivatives. Ukr Math J 42, 717–721 (1990). https://doi.org/10.1007/BF01058920

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  • DOI: https://doi.org/10.1007/BF01058920

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