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...

Full description

Saved in:

Bibliographic Details
Published in:	Alexandria engineering journal Vol. 61; no. 9; pp. 7103 - 7109
Main Authors:	Helal, S.M., Elmekawy, A.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.09.2022 Elsevier
Subjects:	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
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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