Adomian decomposition method for solution of differential-algebraic equations

Journal of Computational and Applied Mathematics

Volumn 197, Issue 2, 2006, Pages 495-501

  Hosseini, M M ^a  

^a YAZD UNIVERSITY   (Iran)

Author keywords

Adomian decomposition method; Differential algebraic equations; Reduction of index

Indexed keywords

DECOMPOSITION; LINEAR ALGEBRA; NUMERICAL ANALYSIS; PROBLEM SOLVING; RELIABILITY THEORY;

ADOMIAN DECOMPOSITION METHOD; DIFFERENTIAL ALGEBRAIC EQUATIONS; LINEAR HESSENBERG SYSTEMS; REDUCTION OF INDEX;

DIFFERENTIAL EQUATIONS;

EID: 33747368528     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.11.012     Document Type: Article

References (13)

1. Abbaoui K., and Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Math. Appl. 29 (1995) 103-108
2. Ascher U.M., and Lin P. Sequential regularization methods for higher index differential-algebraic equations with constraint singularities: the linear index-2 case. SIAM J. Anal. 33 (1996) 1921-1940
3. Babolian E., and Hosseini M.M. Reducing index and spectral methods for differential-algebraic equations. J. Appl. Math. Comput. 140 (2003) 77-90
4. Cherruault Y., Adomian G., Abbaoui K., and Rach R. Further remarks on convergence of decomposition method. Bio-Medical Comput. 38 (1995) 89-93
5. Hosseini M.M. Reducing index method for differential algebraic equations with constraint singularities. J. Appl. Math. Comput. 153 (2004) 205-214
6. Hosseini M.M. Numerical solution of linear differential algebraic equations. J. Appl. Math. Comput. 162 (2005) 7-14
7. M.M. Hosseini, An index reduction method for linear Hessenberg systems, J. Appl. Math. Comput., 171 (2005) 596-603.
8. Lesnic D. Convergence of Adomian decomposition method: periodic temperatures. Comput. Math. Appl. 44 (2002) 13-24
9. Seng V., Abbaoui K., and Cherruault Y. Adomian's polynomials for nonlinear operators. Math. Comput. Modeling 24 (1996) 59-65
10. Wazwaz A.M. A reliable modification of Adomian decomposition method. Appl. Math. Comput. 102 (1999) 77-86
11. Wazwaz A.M. A new algorithm for calculating Adomian polynomials for nonlinear operators. Appl. Math. Comput. 111 (2000) 53-69
12. Wazwaz A.M. Adomian decomposition for a reliable treatment of the Emden-Fowler equation. Appl. Math. Comput. 161 (2005) 543-560
13. Wazwaz A.M., and El-Sayed S.M. A new modification of the Adomian decomposition method for linear and nonlinear operators. Appl. Math. Comput. 122 (2001) 393-405