几种米塔-列夫勒函数的数值算法的实现及其比较
IMPLEMENTATION AND COMPARISON OF NUMERICAL ALGORITHMS FOR SEVERAL MITTAG-LEFFLER FUNCTIONS
方宇孟 1余波 2袁晓 1谢雨婧1
作者信息
- 1. 四川大学电子信息学院 四川 成都 610065
- 2. 四川大学计算机学院 四川 成都 610065;成都师范学院物理与工程技术学院 四川 成都 611130
- 折叠
摘要
针对米塔-列夫勒函数类的表示、快速有效高精度计算、显示的问题,考察和实现四种数值算法:累加算法、分区算法、最优抛物线围线算法和帕德逼近算法.通过MATLAB软件编程和仿真,绘制、显示米塔-列夫勒函数,分析对比算法性能.实验结果表明,最优抛物线围线算法的计算精度和适用性最好,帕德逼近算法计算速度最快,分区算法优于累加算法.
Abstract
In order to explore the representation,fast and effective high precision calculation,display and application of mittag-leffler functions,we investigate and implement the four numerical algorithms:the accumulative algorithm,the partitioning algorithm,the optimal parabolic contour algorithm,and the Padé approximation algorithm.Through MATLAB software programming and simulation,the mittag-leffler functions were drawn and displayed,and the performance of four algorithms was analyzed and compared.The experimental results show that the optimal parabolic contour algorithm has the best accuracy and applicability,the Padé approximation algorithm has the fastest calculation speed,and the partitioning algorithm is superior to the accumulative algorithm.
关键词
分数微积分/特殊函数/围线积分/近似算法/分数阶信号分析Key words
Fractional calculus/Special function/Contour integral/Approximation algorithms/Fractional signal processing引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据