TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS

Boundary value problems are considered on a simplex <em>F</em> in the real Euclidean space R<sup>2</sup>. The recent discovery of new families of special functions, orthogonal on <em>F</em>, makes it possible to consider not only the Dirichlet or Neumann boundary...

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Main Authors: Marzena Szajewska, Agnieszka Tereszkiewicz
Format: Article
Language:English
Published: CTU Central Library 2016-06-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/3509
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author Marzena Szajewska
Agnieszka Tereszkiewicz
author_facet Marzena Szajewska
Agnieszka Tereszkiewicz
author_sort Marzena Szajewska
collection DOAJ
description Boundary value problems are considered on a simplex <em>F</em> in the real Euclidean space R<sup>2</sup>. The recent discovery of new families of special functions, orthogonal on <em>F</em>, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on <em>F</em>, but also the mixed boundary value problem which is a mixture of Dirichlet and Neumann type, ie. on some parts of the boundary of <em>F</em> a Dirichlet condition is fulfilled and on the other Neumann’s works.
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spelling doaj.art-1f2e0bd483904b4eab7db07f24b8b57c2022-12-21T17:14:30ZengCTU Central LibraryActa Polytechnica1210-27091805-23632016-06-0156324525310.14311/AP.2016.56.02453154TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMSMarzena Szajewska0Agnieszka Tereszkiewicz1Institute of Mathematics University of BialystokInstitute of Mathematics, University of Bialystok, 1M Ciolkowskiego, PL-15-245 Bialystok, PolandBoundary value problems are considered on a simplex <em>F</em> in the real Euclidean space R<sup>2</sup>. The recent discovery of new families of special functions, orthogonal on <em>F</em>, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on <em>F</em>, but also the mixed boundary value problem which is a mixture of Dirichlet and Neumann type, ie. on some parts of the boundary of <em>F</em> a Dirichlet condition is fulfilled and on the other Neumann’s works.https://ojs.cvut.cz/ojs/index.php/ap/article/view/3509hybrid functions, Dirichlet boundary value problem, Neumann boundary value problem, mixed boundary value problem
spellingShingle Marzena Szajewska
Agnieszka Tereszkiewicz
TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Acta Polytechnica
hybrid functions, Dirichlet boundary value problem, Neumann boundary value problem, mixed boundary value problem
title TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
title_full TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
title_fullStr TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
title_full_unstemmed TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
title_short TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
title_sort two dimensional hybrids with mixed boundary value problems
topic hybrid functions, Dirichlet boundary value problem, Neumann boundary value problem, mixed boundary value problem
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/3509
work_keys_str_mv AT marzenaszajewska twodimensionalhybridswithmixedboundaryvalueproblems
AT agnieszkatereszkiewicz twodimensionalhybridswithmixedboundaryvalueproblems