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Computing eigenvalues of the string by sampling |
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| Affiliation: | Department of Mathematics, Sultan Qaboos University P.O. Box 36, ALKHOD 123, Sultanate of Oman |
| Abstract: | In this paper, we shall use the Shannon-Whittacker-Kotelnikov sampling theorem to approximate the eigenvalues of the string, y″(t) + μ2w(t)y(t) = 0, where the weight w(t) ≥ 0 is allowed to vanish on subintervals. After a discussion on the truncation error, numerical results are provided. |
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