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A BIE method for a nonlinear BVP - MaRDI portal

A BIE method for a nonlinear BVP (Q2366432)

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A BIE method for a nonlinear BVP
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    A BIE method for a nonlinear BVP (English)
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    29 June 1993
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    A nonlinear boundary value problem governed by the Laplace equation in two dimensions with a nonlinear boundary condition is considered. The paper is concerned with the numerical solvability of a nonlinear boundary integral equation obtained by reformulating the boundary value problem. An alternative to the standard collocation method (product collocation) is given. Superconvergence of the approximate solutions is shown.
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    nonlinear boundary value problem
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    Laplace equation
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    boundary integral equation
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    collocation method
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    Superconvergence
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