کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628461 1631830 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extended exponentially fitted interpolation formulas for oscillatory functions
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Extended exponentially fitted interpolation formulas for oscillatory functions
چکیده انگلیسی

We consider exponentially fitted interpolation formulas that use not only the pointwise values of an ωω-dependent function f but also of its derivatives up to the n  th order at the two boundary nodes of a closed interval [a,b][a,b]. The function f is of the form,f(x)=f1(x)cos(ωx)+f2(x)sin(ωx),x∈[a,b],where the functions f1f1 and f2f2 are smooth on the interval. As n increases, numerical results about the errors for the formulas are illustrated and compared. Some properties of the coefficients of the formulas at the two nodes are presented and extended to the case with three nodes. We investigate if the properties of the coefficients can be generalised to the cases with more than three nodes. Finally some other numerical results regarding the errors are given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 224, 1 November 2013, Pages 178–195
نویسندگان
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