A numerical method for solving partial differential algebraic equations

被引：1

作者：

Nguyen Khac Diep ^{[1
]}

Chistyakov, V. F. ^{[2
]}

机构：

[1] Natl Res Irkutsk State Tech Univ, Irkutsk 664074, Russia

[2] Russian Acad Sci, Siberian Branch, Inst Syst Dynam & Control Theory, Irkutsk 664033, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2013年 / 53卷 / 06期

关键词：

partial differential algebraic equations; hyperbolic equations; singular systems; index; implicit difference schemes; INDEX;

D O I：

10.1134/S0965542513060134

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear systems of partial differential equations with constant coefficient matrices are considered. The matrices multiplying the derivatives of the sought vector function are assumed to be singular. The structure of solutions to such systems is examined. The numerical solution of initialboundary value problems for such equations by applying implicit difference schemes is discussed.

引用

页码：766 / 776

页数：11

共 50 条

[21] A numerical method for solving fractional differential equations
ul Abdeen, Zain
Rehman, Mujeeb Ur
ENGINEERING COMPUTATIONS, 2019, 36 (02) : 551 - 568
[22] VARIATIONAL METHODS FOR SOLVING WARPED MULTIRATE PARTIAL DIFFERENTIAL ALGEBRAIC EQUATIONS
Pulch, Roland
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 31 (02): : 1016 - 1034
[23] A numerical method for solving uncertain differential equations
Yao, Kai
Chen, Xiaowei
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (03) : 825 - 832
[24] NUMERICAL SOLVING OF PARTIAL DIFFERENTIAL EQUATIONS WITH HEREDITY AND NONLINEARITY IN THE DIFFERENTIAL OPERATOR
Gorbova, T., V
Pimenov, V. G.
Solodushkin, S., I
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 1587 - 1599
[25] A new numerical method for solving the general form of the second order partial differential equations
Anjidani, M.
Effati, S.
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1087 - 1093
[26] A semi-analytical numerical method for solving evolution and elliptic partial differential equations
Fokas, A. S.
Flyer, N.
Smitheman, S. A.
Spence, E. A.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 227 (01) : 59 - 74
[27] Numerical solution of linear differential-algebraic systems of partial differential equations
S. B. Gaidomak
Computational Mathematics and Mathematical Physics, 2015, 55 : 1501 - 1514
[28] Numerical solution of linear differential-algebraic systems of partial differential equations
Gaidomak, S. B.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2015, 55 (09) : 1501 - 1514
[29] Contributions to the method of Coordinate Splitting for solving differential algebraic equations
Mechanical Engineering Department, University of Washington, Seattle, WA 98195, United States
Int J Modell Simul, 2 (119-127):
[30] A modified collocation method for solving differential-algebraic equations
Wang, FS
APPLIED MATHEMATICS AND COMPUTATION, 2000, 116 (03) : 257 - 278

← 1 2 3 4 5 →