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A method for the accurate solution of a boundary-value problem for the Laplace equation - MaRDI portal

A method for the accurate solution of a boundary-value problem for the Laplace equation (Q1802597)

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scientific article; zbMATH DE number 205019
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A method for the accurate solution of a boundary-value problem for the Laplace equation
scientific article; zbMATH DE number 205019

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    A method for the accurate solution of a boundary-value problem for the Laplace equation (English)
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    6 September 1993
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    Results are discussed referring to the solution of the Laplace equation in the disk \(r\leq R\), \(R>1\), with a nonlinear conjugation condition on the circle \(r=1\) involving the normal derivatives of the solution. By means of trigonometric series, the problem is reduced to the linear Hilbert problem.
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    nonlinear conjugation condition
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    trigonometric series
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    linear Hilbert problem
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