| 基于FFT的非整数阶微积分数值计算 |
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| 引用本文： | 陈遵德. 基于FFT的非整数阶微积分数值计算[J]. 顺德职业技术学院学报, 2009, 7(4): 26-28. DOI: 10.3969/j.issn.1672-6138.2009.04.007 |
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| 作者姓名： | 陈遵德 |
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| 作者单位： | 顺德职业技术学院计算机技术系,广东佛山,528333 |
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| 摘 要： | 利用Fourier变换、数字信号处理理论探讨了微积分的FFT算法及误差分析，并将其推广到非整数阶微积分的数值计算。数值算例结果表明：该算法方便、快速，适用于低阶微积分的数值计算，尤其适用于工程计算。
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| 关 键 词： | 非整数阶微积分 数值计算 FFT |
Numerical Computation of Non-integral-order Calculus Based on FFT |
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| CHEN Zun-de. Numerical Computation of Non-integral-order Calculus Based on FFT[J]. , 2009, 7(4): 26-28. DOI: 10.3969/j.issn.1672-6138.2009.04.007 |
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| Authors: | CHEN Zun-de |
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| Affiliation: | CHEN Zun-de (Department of Computer Technology, Shunde Polytechnic, Foshan Guangdong 528333, China) |
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| Abstract: | This paper, with the help of Fourier Transform and digital signal processing, explores the numerical computation（NC） of calculus based on FIT and error analysis,which is popularized to the NC of non-integral-order calculus. The results of NC show that the algorithm is convenient, fast, and applicable for the NC of low-order calculus, and especially suit for engineering computation. |
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| Keywords: | FFT |
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