Differential transform method applied to high index differential-algebraic equations

Applied Mathematics and Computation

Volumn 184, Issue 2, 2007, Pages 748-753

  Liu, Hong ^a,b   Song, Yongzhong ^a  

^a NANJING NORMAL UNIVERSITY   (China)

^b ZHENJIANG WATERCRAFT COLLEGE   (China)

Author keywords

Differential transform method; Differential algebraic equations (DAEs); Numerical solution; Series solution

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS;

DIFFERENTIAL TRANSFORM METHOD; DIFFERENTIAL-ALGEBRAIC EQUATIONS (DAE); SERIES SOLUTION;

COMPUTATION THEORY;

EID: 33846602696     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.173     Document Type: Article

References (13)

1. Ascher U.M. On symmetric schemes and differential-algebraic equations. SIAM J. Sci. Stat. Comput. 10 (1989) 937-949
2. Ascher U.M., and Petzold L.R. Projected implicit Runge-Kutta methods for differential-algebraic equations. SIAM J. Numer. Anal. 28 (1991) 1097-1120
3. Ayaz F. Applications of differential transform method to differential-algebraic equations. Appl. Math. Comput. 152 (2004) 649-657
4. Ayaz F. Solutions of the systems of differential equations by differential transform method. Appl. Math. Comput. 147 (2004) 547-567
5. Babolian E., and Hosseini M.M. Reducing index, and pseudospectral methods for differential-algebraic equations. Appl. Math. Comput. 140 (2003) 77-90
6. Brenan K.E., Campell S.L., and Petzold L.R. Numerical Solution of Initial Value Problems in Differential-Algebraic Equations (1989), Elsevier, New York
7. Campell S.L. Singular Systems of Differential Equations {amalgamation} (1982), Pitman, San Francisco, CA
8. Chen C.K., and Ho S.H. Solving partial differential equations by two dimensional differential transform method. Appl. Math. Comput. 106 (1999) 171-179
9. Gear C.W., and Petold L.R. ODE systems for the solution of differential-algebraic systems. SIAM J. Numer. Anal. 21 (1984) 716-728
10. Griepentrog E., and März R. Basic properties of some differential-algebraic equations. Z. Anal. Anwend. 8 (1989) 25-40
11. Higueras I., and Garcya-Celayeta B. Runge-Kutta methods for DAEs. A new approach. J. Comput. Appl. Math. 111 (1999) 49-61
12. Song Y. Solvability of higher index time-varying linear differential-algebraic equations. Acta Math. Sci. 21 B (2001) 77-92
13. Zhou J.K. Differential Transformation and its Application for Electrical Circuits (1986), Huazhong University Press, Wuhan, China (in Chinese)