Waveform relaxation method for fractional differential-algebraic equations

被引：19
|
作者：
Ding, Xiao-Li [1 ]
Jiang, Yao-Lin [2 ]
机构：
[1] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2014年 / 17卷 / 03期
关键词：
fractional differential-algebraic equations; waveform relaxation method; convergence;
D O I：
10.2478/s13540-014-0187-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The waveform relaxation method has been successfully applied into solving fractional ordinary differential equations and fractional functional differential equations [11, 5]. In this paper, the waveform relaxation method is further used to solve fractional differential-algebraic equations, which often arise in integrated circuits with new memory materials. We give the iteration scheme of the waveform relaxation method and analyze the convergence of the method under linear and nonlinear conditions for the right-hand of the equations. Numerical examples illustrate the feasibility and efficiency of the method.
引用
收藏
页码：585 / 604
页数：20
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