EXACT SOLUTIONS FOR DIFFERENTIAL-ALGEBRAIC EQUATIONS

被引：3
|
作者：
Vazquez-Leal, Hector [1 ]
机构：
[1] Univ Veracruzana, Elect Instrumentat & Atmospher Sci Sch, Xalapa 91000, Veracruz, Mexico
来源：
MISKOLC MATHEMATICAL NOTES | 2014年 / 15卷 / 01期
关键词：
series method; resummation methods; differential-algebraic equations; VARIATIONAL ITERATION METHOD; DOUBLE-BOUNDED HOMOTOPY; NUMERICAL-SOLUTION;
D O I：
10.18514/MMN.2014.1027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work presents the application of series method to find solutions of differential-algebraic equations systems (DAEs). We present two case studies to show that series method generates approximate solutions for DAEs. The type of tested equations are a linear and a nonlinear DAEs of index-3. What is more, we present the post-processing of the series solutions with Laplace-Pade (LP) resummation method as a useful strategy to find exact solutions or to extend the domain of convergence of the power series solutions.
引用
收藏
页码：227 / 238
页数：12
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