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Volumn 9, Issue 3, 2009, Pages 226-237

Ultraspherical Differentiation Method for Solving System of Initial Value Differential Algebraic Equations

Author keywords

differential algebraic equations; spectral differentiation matrix; ultraspherical polynomials

Indexed keywords


EID: 79958110357     PISSN: 16094840     EISSN: 16099389     Source Type: Journal    
DOI: 10.2478/cmam-2009-0014     Document Type: Article
Times cited : (1)

References (20)
  • 1
    • 45549111744 scopus 로고
    • A Note on the Chebyshev Coefficients of the General-Order Derivative of an infinitely differentiable function
    • A. Karageorghis, A Note on the Chebyshev Coefficients of the General-Order Derivative of an infinitely differentiable function, J. Comput. Appl. Math., 21 (1988), pp. 383-386.
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 383-386
    • Karageorghis, A.1
  • 2
    • 0008089454 scopus 로고
    • On the Coefficients of Differentiated Expansions of an Ultras pherical Polynomials
    • A. Karageorghis and T. N. Phillips, On the Coefficients of Differentiated Expansions of an Ultras pherical Polynomials, Applied Numer. Math., 9 (1992), pp. 133-141.
    • (1992) Applied Numer. Math. , vol.9 , pp. 133-141
    • Karageorghis, A.1    Phillips, T.N.2
  • 3
    • 0025448724 scopus 로고
    • On the Coefficients of integrated expansions of Ultraspherical Polynomials
    • A. Karageorghis and T. N. Phillips, On the Coefficients of integrated expansions of Ultraspherical Polynomials, SIAM J. Numer. Anal., 27 (1990), pp. 823-830.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 823-830
    • Karageorghis, A.1    Phillips, T.N.2
  • 4
    • 0037431450 scopus 로고    scopus 로고
    • Arbitrary order numerical method for solving differential-algebraic equation by Pade series
    • E. Celik and M. Bayram, Arbitrary order numerical method for solving differential-algebraic equation by Pade series, Appl. Math. Comput., 137 (2003), pp. 57-65.
    • (2003) Appl. Math. Comput. , vol.137 , pp. 57-65
    • Celik, E.1    Bayram, M.2
  • 5
    • 2942706162 scopus 로고    scopus 로고
    • Numerical solution of differential-algebraic equation systems and applications
    • E. Celik and M. Bayram, Numerical solution of differential-algebraic equation systems and applications, Appl. Math. Comput., 154 (2004), p. 405-413.
    • (2004) Appl. Math. Comput. , vol.154 , pp. 405-413
    • Celik, E.1    Bayram, M.2
  • 6
    • 0037431447 scopus 로고    scopus 로고
    • On the numerical solution of differential-algebraic equations by Pade series
    • E. Celik and M. Bayram, On the numerical solution of differential-algebraic equations by Pade series, Appl. Math. Comput., 137 (2003), pp. 151-160.
    • (2003) Appl. Math. Comput. , vol.137 , pp. 151-160
    • Celik, E.1    Bayram, M.2
  • 7
    • 10044230193 scopus 로고    scopus 로고
    • The numerical solution of physical problems modeled as a system of differential-algebraic equations (DAEs)
    • E. Celik and M. Bayram, The numerical solution of physical problems modeled as a system of differential-algebraic equations (DAEs), J. of the Franklin Institute, 342 (2005), pp. 1-6.
    • (2005) J. of the Franklin Institute , vol.342 , pp. 1-6
    • Celik, E.1    Bayram, M.2
  • 8
    • 3943057487 scopus 로고    scopus 로고
    • On the numerical solution of differential-algebraic equations with index-2
    • E. Celik and M. Bayram, On the numerical solution of differential-algebraic equations with index-2, Appl. Math. Comput., 156 (2004), pp. 541-550.
    • (2004) Appl. Math. Comput. , vol.156 , pp. 541-550
    • Celik, E.1    Bayram, M.2
  • 9
    • 26844480312 scopus 로고    scopus 로고
    • Higher order pseudospectral differentiation matrices
    • E. Elbarbary and S. El-Sayed, Higher order pseudospectral differentiation matrices, Appl. Numer. Math., 55 (2005), pp. 425-438.
    • (2005) Appl. Numer. Math. , vol.55 , pp. 425-438
    • Elbarbary, E.1
  • 10
    • 85025271153 scopus 로고
    • The numerical solution of differential algebraic systems by Runge-Kutta methods, Lecture Notes in Math., 409 (1989), Springer-Verlag, Berlin.
    • (1989) Lecture Notes in Math. , vol.409
  • 11
    • 2342649493 scopus 로고    scopus 로고
    • Applications of differential transform method to differential-algebraic equations
    • F. Ayaz, Applications of differential transform method to differential-algebraic equations, Appl. Math. Comput., 152 (2004), pp. 649-657.
    • (2004) Appl. Math. Comput. , vol.152 , pp. 649-657
    • Ayaz, F.1
  • 14
    • 0038925122 scopus 로고
    • The numerical solution of higher index differential-algebraic equations by implicit methods
    • K. Brenan and L. Petzold, The numerical solution of higher index differential-algebraic equations by implicit methods, SIAM J. Numer. Anal., 26 (1989), pp. 976-996.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 976-996
    • Brenan, K.1    Petzold, L.2
  • 16
    • 0022767918 scopus 로고
    • Order results for implicit Runge - Kutta methods applied to differential-algebraic equations
    • L. Petzold, Order results for implicit Runge - Kutta methods applied to differential-algebraic equations, SIAM J. Numer. Anal., 23 (1986), pp. 837-852.
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 837-852
    • Petzold, L.1
  • 18
    • 0001324079 scopus 로고
    • On the Legendre coefficients of a general order derivative of an infinitely differentiable function
    • T. N. Phillips, On the Legendre coefficients of a general order derivative of an infinitely differentiable function, IMA J. Numer. Anal., 8 (1988), pp. 455-459.
    • (1988) IMA J. Numer. Anal. , vol.8 , pp. 455-459
    • Phillips, T.N.1
  • 19
    • 0006111819 scopus 로고
    • Penalty functions with partial quadratic interpolation technique in the constrained optimization problems
    • T. M. El-Gindy and M. S. Salim, Penalty functions with partial quadratic interpolation technique in the constrained optimization problems, Journal of Institute of Math. Computer Sci., 3 (1990), no. 1, pp. 85-90.
    • (1990) , vol.3 , Issue.1 , pp. 85-90
    • El-Gindy, T.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.