Open AccessTWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS
Author(s) -
Marzena Szajewska,
Agnieszka Tereszkiewicz
Publication year - 2016
Publication title -
acta polytechnica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.207
H-Index - 15
eISSN - 1805-2363
pISSN - 1210-2709
DOI - 10.14311/ap.2016.56.0245
Subject(s) - dirichlet distribution , boundary value problem , mathematics , neumann boundary condition , boundary (topology) , mixed boundary condition , dirichlet boundary condition , euclidean space , value (mathematics) , mathematical analysis , combinatorics , statistics
Boundary value problems are considered on a simplex F in the real Euclidean space R 2 . The recent discovery of new families of special functions, orthogonal on F , makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F , but also the mixed boundary value problem which is a mixture of Dirichlet and Neumann type, ie. on some parts of the boundary of F a Dirichlet condition is fulfilled and on the other Neumann’s works.