An effective adaptive algorithm for linear fractional dynamical systems

被引：2
|
作者：
Bu, Weiping [1 ,2 ]
Qu, Min [1 ,2 ]
机构：
[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2023年 / 14卷 / 05期
关键词：
Fractional dynamical systems; time-stepping L(1)approximation; a posteriori error estimation; adaptive algorithm; ERROR ANALYSIS; DIFFERENCE SCHEME; GRADED MESHES; EQUATIONS;
D O I：
10.1142/S1793962324500053
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This study proposes a time-stepping L-1 scheme to approximate the linear fractional dynamical systems based on nonuniform mesh. The developed numerical scheme is unconditionally stable, and exhibits second-order accuracy when the suitable graded mesh is used. A posteriori error estimation is derived for the obtained numerical scheme and the corresponding adaptive algorithm is devised. Finally, two numerical examples are provided to demonstrate the effectiveness of our approach and verify the theoretical results.
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页数：13
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