Benchmark problems for Caputo fractional-order ordinary differential equations

被引：0
|
作者：
Dingyü Xue
Lu Bai
机构：
[1] Northeastern University,
[2] Shenyang University,undefined
来源：
Fractional Calculus and Applied Analysis | 2017年 / 20卷
关键词：
benchmark problem; fractional calculus; Caputo differential equation; numerical algorithm; simulation; Primary 34A08; Secondary 65Y20; 26A33; 46N40; 37M05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
There are many numerical algorithms for solving the fractional-order ordinary differential equations (FODEs). They are usually very different in nature, and it is difficult to compare their performances. To solve this problem, a set of five benchmark problems of different categories of FODEs with known analytical solution are designed and proposed, they can be used as benchmark problems for testing the numerical algorithms. A Simulink block diagram scheme is used for solving these benchmark problems, with computing errors and the running times reported.
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页码：1305 / 1312
页数：7
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