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Computing of eigenvalues of sturm-liouville problems with eigenparameter dependent boundary conditions | ||
| Iranian Journal of Science | ||
| مقاله 5، دوره 35، شماره 4، بهمن 2011، صفحه 293-299 اصل مقاله (268.65 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2154 | ||
| نویسنده | ||
| S. M. Al-Harbi* | ||
| Mathematics Department, University College, Umm Al-Qura University, Makkah, Saudi Arabia | ||
| چکیده | ||
| The purpose of this article is to use the classical sampling theorem, WKS sampling theorem, to derive approximate values of the eigenvalues of the Sturm-Liouville problems with eigenparameter in the boundary conditions. Error analysis is used to give estimates of the associated error. Higher order approximations are also drived, which lead to more complicated computations. We give some examples and make companions with existing results. | ||
| کلیدواژهها | ||
| Eigenvalue problem with eigenparameter in the boundary conditions؛ sinc methods؛ computing eigenvalues | ||
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