TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS

Authors

  • Marzena Szajewska Institute of Mathematics University of Bialystok http://orcid.org/0000-0003-4664-6619
  • Agnieszka Tereszkiewicz Institute of Mathematics, University of Bialystok, 1M Ciolkowskiego, PL-15-245 Bialystok, Poland

DOI:

https://doi.org/10.14311/AP.2016.56.0245

Keywords:

hybrid functions, Dirichlet boundary value problem, Neumann boundary value problem, mixed boundary value problem

Abstract

Boundary value problems are considered on a simplex F in the real Euclidean space R2. 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.

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Published

2016-06-30

Issue

Section

Articles

How to Cite

Szajewska, M., & Tereszkiewicz, A. (2016). TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS. Acta Polytechnica, 56(3), 245-253. https://doi.org/10.14311/AP.2016.56.0245
Received 2016-02-09
Accepted 2016-04-05
Published 2016-06-30