The effect of a new two-point nonlocal condition on the eigenvalue problem of the difference scheme for an elliptic partial differential equation

In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one. The focus of this work is not the numerical solution of the considered problem. Rather, we study the effect of th...

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Vydané v:	Alexandria engineering journal Ročník 61; číslo 9; s. 7103 - 7109
Hlavní autori:	Helal, S.M., Elmekawy, A.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier B.V 01.09.2022 Elsevier
Predmet:	Eigenvalues and eigenvectors problem Elliptic partial differential equation Finite difference method Non-local boundary condition Elliptic partial differential equation Eigenvalues and eigenvectors problem Non-local boundary condition Finite difference method
ISSN:	1110-0168
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Popis
Shrnutí:	In this paper, a new form of two-point nonlocal boundary conditions is presented. This condition generalizes a Dirichlet condition at one boundary and a mixed condition at the other one. The focus of this work is not the numerical solution of the considered problem. Rather, we study the effect of the proposed nonlocal boundary condition on the difference eigenvalue problem for an elliptic partial differential equation in one and two dimensions.
ISSN:	1110-0168
DOI:	10.1016/j.aej.2021.12.054