Solving system of DAEs by homotopy analysis method

Chaos, Solitons and Fractals

Volumn 42, Issue 3, 2009, Pages 1422-1427

  Awawdeh, Fadi ^a   Jaradat, H M ^b   Alsayyed, O ^c  

^a HASHEMITE UNIVERSITY   (Jordan)

^b AL AL BAYT UNIVERSITY   (Jordan)

^c AL ZAYTOONAH UNIVERSITY OF JORDAN   (Jordan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA;

APPROXIMATE ANALYTICAL SOLUTIONS; DIFFERENTIAL ALGEBRAIC EQUATIONS; HOMOTOPY ANALYSIS METHODS;

DIFFERENTIAL EQUATIONS;

EID: 67650424269     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.057     Document Type: Article

References (17)

1. 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
2. Brenan K.E., Campbell S.L., and Petzold L.R. Numerical solution of initial-value problems in differential algebraic equations. Classics in applied mathematics. 2nd ed. vol. 14 (1996), SIAM, Philadelphia, PA
3. Brown P.N., Hindmarsh A.C., and Petzold L.R. Consistent initial condition calculation for differential-algebraic systems. SIAM J Sci Comput 19 (1998) 1495-1512
4. Babolian E., and Hosseini M.M. Reducing index and spectral methods for differential-algebraic equations. J Appl Math Comput 144 (2003) 77-90
5. Butcher J., and Chan R. Efficient Runge-Kutta integrators for index-2 differential algebraic equations. Math Comput 76 (1998) 1001-1021
6. Celik E., and Bayram M. On the numerical solution of DAEs by Pade series. Appl Math Comput 137 (2003) 151-160
7. Campbell S.L., and Gear C.W. The index of general nonlinear DAEs. Numer Math 72 (1995) 173-196
8. Deuflhard P., Hairer E., and Zugck J. One step and extrapolation methods for differential-algebraic systems. Numer Math 51 (1987) 501-516
9. Gear C. Differential algebraic equations index transformations. SIAM J Sci Stat Comput 9 (1988) 39-47
10. Griepentrog E., and März R. Differential-algebraic equations and their numerical treatment. Teubner Textezur Mathematik (1986), Teubner-Verlag, Leipzig
11. Hosseini M.M. An index reduction method for linear Hessenberg systems. J Appl Math Comput 171 (2005) 596-603
12. Hosseini M.M. Numerical solution of linear differential algebraic equations. J Appl Math Comput 162 (2005) 7-14
13. Hosseini M.M. Reducing index method for differential algebraic equations with constraint singularities. J Appl Math Comput 153 (2004) 205-214
14. Kunkel P., and Mehrmann V. Differential-algebraic equations - analysis and numerical solution (2006), EMS Publishing House, Zürich, Switzerland
15. Kunkel P., and Mehrmann V. Regular solutions of nonlinear differential algebraic equations and their numerical determination. Numer Math 97 (1998) 581-600
16. Liao S.J. On the homotopy analysis method for nonlinear problems. Appl Math Comput 174 (2004) 499-513
17. Liao S.J. Beyond perturbation: introduction to the homotopy analysis method (2003), Chapman & Hall/CRC Press, Boca Raton