On Computing of Eigenvalues of Differential Equations Q = λP with Eigenparameter in Boundary Conditions
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Copyright: © 2020 S. M. Al-Harbi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Problem statement: Our purpose of this study is to use sinc methods to compute approximately the eigenval-ues of second-order operator pencil of the form Q-λP. Approach: Where Q is second order self adjoint differential operator and P is a first order and λ∈C is an eigenvalue parameter. Results: The eigenparameter appears in the boundary conditions linearly. Using computable error boundswe obtain eigenvalue enclosures in a simple way. Conclusion/Recommendations: We give some numerical examples and makecompanions with existing results.
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- Sinc method
- operator pencil
- eigenvalue problem
- eigenparameter in boundary conditions
- computing eigenvalues
- Whittaker-Kotel'nikov-Shannon (WKS)