A Collocation Method for the Numerical Solution of Nonlinear Fractional Dynamical Systems

被引：7
作者：
Pitolli, Francesca [1 ,2 ]
机构：
[1] Univ Roma La Sapienza, Dept SBAI, I-00161 Rome, Italy
[2] Via Antonio Scarpa 16, I-00161 Rome, Italy
来源：
ALGORITHMS | 2019年 / 12卷 / 08期
关键词：
fractional differential equation; nonlinear dynamical system; B-spline; collocation method;
D O I：
10.3390/a12080156
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Fractional differential problems are widely used in applied sciences. For this reason, there is a great interest in the construction of efficient numerical methods to approximate their solution. The aim of this paper is to describe in detail a collocation method suitable to approximate the solution of dynamical systems with time derivative of fractional order. We will highlight all the steps necessary to implement the corresponding algorithm and we will use it to solve some test problems. Two Mathematica Notebooks that can be used to solve these test problems are provided.
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页数：13
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