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

Authors

  • N. El-Mowafy Department of Basic Science, Faculty of Engineering, Delta University, Gamsa
  • S. M. Helal Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura
  • M. S. El-Azab Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Mansoura

DOI:

https://doi.org/10.26713/jims.v12i3.1408

Keywords:

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

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.

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Published

2020-09-30
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How to Cite

El-Mowafy, N., Helal, S. M., & El-Azab, M. S. (2020). Study the Influence of Nonlocal Boundary Condition on the Difference Eigenvalue Problem for Elliptic Partial Differential Equation. Journal of Informatics and Mathematical Sciences, 12(3), 209–222. https://doi.org/10.26713/jims.v12i3.1408

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Research Articles