کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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4645508 | 1632211 | 2010 | 7 صفحه PDF | دانلود رایگان |
In the present contribution, we develop an efficient algorithm for the recursive computation of the transformation for the approximation of infinite-range integrals. Previous to this contribution, the theoretically powerful transformation was handicapped by the lack of an algorithmic implementation. Our proposed algorithm removes this handicap by introducing a recursive computation of the successive transformations with respect to the order n. This recursion, however, introduces the operator applied to the integrand. Consequently, we employ the Slevinsky–Safouhi formula I for the analytical and numerical developments of these required successive derivatives.Incomplete Bessel functions, which pose as a numerical challenge, are computed to high pre-determined accuracies using the developed algorithm. The numerical results obtained show the high efficiency of the new method, which does not resort to any numerical integration in the computation.
Journal: Applied Numerical Mathematics - Volume 60, Issue 12, December 2010, Pages 1411-1417