计算机应用与软件2024，Vol.41Issue(12)：229-239,246,12.DOI:10.3969/j.issn.1000-386x.2024.12.033
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
摘要
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分类
信息技术与安全科学引用本文复制引用
方宇孟,余波,袁晓,谢雨婧..几种米塔-列夫勒函数的数值算法的实现及其比较[J].计算机应用与软件,2024,41(12):229-239,246,12.基金项目
国家自然科学基金项目(U1730141). （U1730141）
