Numerical Calculation of Bessel Functions by Solving Differential Equations and Its Application
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概要
- 論文の詳細を見る
The method solving Bessel's differential equation for calculating numerical values of the Bessel function J_v(x) is not usually used, but it is made clear here that the differential equation method can give very precise numerical values of J_v(x), and is very effective if we do not mind computing time. Here we improved the differential equation method by using a new transformation of J_v(x). This letter also shows a method of evaluating the errors of J_v(x) calculated by this method. The recurrence method is used for calculating the Bessel function J_v(x) numerically. The convergence of the solutions in this method, however, is not yet examined for all of the values of the complex v and the real x. By using the differential equation method, this letter will numerically ascertain the convergence of the solutions and the precision of J_v(x) calculated by the recurrence method.
- 社団法人電子情報通信学会の論文
- 1999-10-25
著者
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Abdur Rashid
Faculty Of Engineering University Of The Ryukyus
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Kodama Masao
Faculty Of Engineering Universality Of The Ryukyus
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