کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639255 1632040 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the evaluation of Bessel transformations with the oscillators via asymptotic series of Whittaker functions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the evaluation of Bessel transformations with the oscillators via asymptotic series of Whittaker functions
چکیده انگلیسی

In this paper we are concerned with numerical evaluation of Bessel transformations with the oscillators. First, we rewrite the integrals by Whittaker functions. Then, based on the asymptotic series of Whittaker functions, the integrals are transformed into the problems involving the complex exponential functions, which can be efficiently computed by using the complex integration method. At the same time, we obtain the entirely different asymptotic expansions from the references. In particular, the asymptotic expansions can be denoted by the incomplete Gamma function. The error analysis shows that the decay of the error drastically improves as the frequency grows. The effectiveness and accuracy of the methods are tested for large arguments of Bessel functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 250, 1 October 2013, Pages 107–121
نویسندگان
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