Study the Influence of Nonlocal Boundary Condition on the Difference Eigenvalue Problem for Elliptic Partial Differential Equation

N. El-Mowafy, S. M. Helal, M. S. El-Azab

Abstract


This paper presents a study of the difference eigenvalue problem for elliptic partial differential equations with a differential type multipoint nonlocal boundary conditions. We formulate the stability analysis technique which is based on the spectral structure of the transition matrix which has different types of eigenvalues. We begin by studying the one-dimensional problem and generalize the results to the two-dimensional problems by appropriate difference operators with nonlocal conditions.


Keywords


Elliptic partial differential equation; Nonlocal boundary condition; Eigenvalues and eigenvectors problem; Finite difference method

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References


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DOI: http://dx.doi.org/10.26713%2Fjims.v12i3.1408

eISSN 0975-5748; pISSN 0974-875X