Computing the Enclosures Eigenvalues Using the Quadratic Method - Applied Mathematics

AM > Vol.10 No.4, April 2019

Applied Mathematics

Volume 10, Issue 4 (April 2019)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Computing the Enclosures Eigenvalues Using the Quadratic Method ()

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DOI: 10.4236/am.2019.104016 604 Downloads 1,187 Views

Author(s)

Shurouq Mohammad Abusamra

Affiliation(s)

Department of Mathematics, Faculty of Science, King Abdul-Aziz University, Jeddah, KSA.

ABSTRACT

In this article, we compute the enclosures eigenvalues (upper and lower bounds) using the quadratic method. The Schrodinger operator (A) (harmonic and anharmonic oscillator model) has used as an example. We study a new technique to get more accurate bounds. We compare our results with Boulton and Strauss method.

KEYWORDS

Quadratic Method, Enclosures Eigenvalues, Boulton and Strauss Method

Share and Cite:

Abusamra, S. (2019) Computing the Enclosures Eigenvalues Using the Quadratic Method. Applied Mathematics, 10, 212-225. doi: 10.4236/am.2019.104016.

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