کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646028 | 1342076 | 2009 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Boundary Value Methods as an extension of Numerov's method for Sturm–Liouville eigenvalue estimates
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Boundary Value Methods as an extension of Numerov's method for Sturm–Liouville eigenvalue estimates Boundary Value Methods as an extension of Numerov's method for Sturm–Liouville eigenvalue estimates](/preview/png/4646028.png)
چکیده انگلیسی
In this paper a class of Boundary Value Methods obtained as an extension of the Numerov's method is proposed for the numerical approximation of the eigenvalues of regular Sturm–Liouville problems subject to Dirichlet boundary conditions. It is proved that the error in the so obtained estimate of the kth eigenvalue behaves as , where p is the order of accuracy of the method and h is the discretization stepsize. Numerical results comparing the performances of the new matrix methods with that of the corrected Numerov's method are also reported.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 59, Issue 7, July 2009, Pages 1644-1656
Journal: Applied Numerical Mathematics - Volume 59, Issue 7, July 2009, Pages 1644-1656