메뉴 건너뛰기




Volumn 214, Issue 2, 2008, Pages 406-416

Approximate solution of multi-pantograph equation with variable coefficients

Author keywords

Delay differential equations; Pantograph equations; Taylor matrix method; Taylor polynomials and series

Indexed keywords

DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; POLYNOMIALS; TAYLOR SERIES;

EID: 39049148015     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.03.024     Document Type: Article
Times cited : (103)

References (15)
  • 1
    • 0031215228 scopus 로고    scopus 로고
    • The pantograph equation in the complex plane
    • Derfel G.A., and Iserles A. The pantograph equation in the complex plane. J. Math. Anal. App. 213 (1997) 117-132
    • (1997) J. Math. Anal. App. , vol.213 , pp. 117-132
    • Derfel, G.A.1    Iserles, A.2
  • 2
    • 0040821594 scopus 로고    scopus 로고
    • On the asymptotics of solutions of a class of linear functional-differential equations
    • Derfel G.A., and Vogl F. On the asymptotics of solutions of a class of linear functional-differential equations. European J. Appl. Maths. 7 (1996) 511-518
    • (1996) European J. Appl. Maths. , vol.7 , pp. 511-518
    • Derfel, G.A.1    Vogl, F.2
  • 3
    • 27944439311 scopus 로고    scopus 로고
    • The adomian decomposition method for solving delay differential equation
    • Evens D.J., and Raslan K.R. The adomian decomposition method for solving delay differential equation. Internat. J. Comput. Math. 82 1 (2005) 49-54
    • (2005) Internat. J. Comput. Math. , vol.82 , Issue.1 , pp. 49-54
    • Evens, D.J.1    Raslan, K.R.2
  • 4
    • 22044440742 scopus 로고    scopus 로고
    • On neutral functional-differential equations with variable time delays
    • Feldstein A., and Liu Y. On neutral functional-differential equations with variable time delays. Math. Proc. Cambridge Philos. Soc. 124 (1998) 371-384
    • (1998) Math. Proc. Cambridge Philos. Soc. , vol.124 , pp. 371-384
    • Feldstein, A.1    Liu, Y.2
  • 5
    • 25644456645 scopus 로고    scopus 로고
    • The approximate solution of high-order linear difference equation with variable coefficients in terms of Taylor polynomials
    • Gülsu M., and Sezer M. The approximate solution of high-order linear difference equation with variable coefficients in terms of Taylor polynomials. Appl. Math. Comput. 168 (2005) 76-88
    • (2005) Appl. Math. Comput. , vol.168 , pp. 76-88
    • Gülsu, M.1    Sezer, M.2
  • 6
    • 26444543234 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving differential-difference equations
    • Gülsu M., and Sezer M. A Taylor polynomial approach for solving differential-difference equations. J. Comput. Appl. Math. 186 (2006) 349-364
    • (2006) J. Comput. Appl. Math. , vol.186 , pp. 349-364
    • Gülsu, M.1    Sezer, M.2
  • 7
    • 0008254857 scopus 로고
    • A Taylor expansion approach for solving integral equations
    • Kanwal R.P., and Liu K.C. A Taylor expansion approach for solving integral equations. Internat. J. Math. Educ. Sci. Technol. 20 3 (1989) 411-414
    • (1989) Internat. J. Math. Educ. Sci. Technol. , vol.20 , Issue.3 , pp. 411-414
    • Kanwal, R.P.1    Liu, K.C.2
  • 8
    • 3242732129 scopus 로고    scopus 로고
    • Properties of analytic solution and numerical solution and multi-pantograph equation
    • Liu M.Z., and Li D. Properties of analytic solution and numerical solution and multi-pantograph equation. Appl. Math. Comput. 155 (2004) 853-871
    • (2004) Appl. Math. Comput. , vol.155 , pp. 853-871
    • Liu, M.Z.1    Li, D.2
  • 9
    • 39049084238 scopus 로고    scopus 로고
    • G.R. Morris, A. Feldstein, E.W. Bowen, The Phragmen-Lindel' of principle and a class of functional-differential equations, in: Proceedings of NRL-MRC Conference on Ordinary Differential Equations, 1972, pp. 513-540.
    • G.R. Morris, A. Feldstein, E.W. Bowen, The Phragmen-Lindel' of principle and a class of functional-differential equations, in: Proceedings of NRL-MRC Conference on Ordinary Differential Equations, 1972, pp. 513-540.
  • 10
    • 0037336074 scopus 로고    scopus 로고
    • On the attainable order of collocation methods for pantograph integro-differential equations
    • Muroya Y., Ishiwata E., and Brunner H. On the attainable order of collocation methods for pantograph integro-differential equations. J. Comput. Appl. Math. 152 (2003) 347-366
    • (2003) J. Comput. Appl. Math. , vol.152 , pp. 347-366
    • Muroya, Y.1    Ishiwata, E.2    Brunner, H.3
  • 11
    • 25644449925 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations
    • Nas S., Yalçinbaş S., and Sezer M. A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations. Internat. J. Math. Educ. Sci. Technol. 31 2 (2000) 213-225
    • (2000) Internat. J. Math. Educ. Sci. Technol. , vol.31 , Issue.2 , pp. 213-225
    • Nas, S.1    Yalçinbaş, S.2    Sezer, M.3
  • 12
    • 0001579514 scopus 로고
    • The dynamics of a current collection system for an electric locomotive
    • Ockendon J.R., and Tayler A.B. The dynamics of a current collection system for an electric locomotive. Proc. Roy. Soc. London Ser. A 322 (1971) 447-468
    • (1971) Proc. Roy. Soc. London Ser. A , vol.322 , pp. 447-468
    • Ockendon, J.R.1    Tayler, A.B.2
  • 13
    • 85016783294 scopus 로고    scopus 로고
    • A method for approximate solution of the second order linear differential equation in terms of Taylor polynomials
    • Sezer M. A method for approximate solution of the second order linear differential equation in terms of Taylor polynomials. Internat. J. Math. Educ. Sci. Technol. 27 6 (1996) 821-834
    • (1996) Internat. J. Math. Educ. Sci. Technol. , vol.27 , Issue.6 , pp. 821-834
    • Sezer, M.1
  • 14
    • 28444445911 scopus 로고    scopus 로고
    • A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument
    • Sezer M., and Gülsu M. A new polynomial approach for solving difference and Fredholm integro-difference equations with mixed argument. Appl. Math. Comput. 171 1 (2005) 332-344
    • (2005) Appl. Math. Comput. , vol.171 , Issue.1 , pp. 332-344
    • Sezer, M.1    Gülsu, M.2
  • 15
    • 0000992795 scopus 로고    scopus 로고
    • The approximate solution of high-order linear Voltarra-Fredholm integro-differential equations in terms of Taylor polynomials
    • Yalçinbaş S., and Sezer M. The approximate solution of high-order linear Voltarra-Fredholm integro-differential equations in terms of Taylor polynomials. Appl. Math. Comput. 112 (2000) 291-308
    • (2000) Appl. Math. Comput. , vol.112 , pp. 291-308
    • Yalçinbaş, S.1    Sezer, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.