메뉴 건너뛰기




Volumn 28, Issue 4, 2012, Pages 1105-1123

A Bessel collocation method for numerical solution of generalized pantograph equations

Author keywords

Bessel matrix method; Bessel polynomials and series; collocation points; Pantograph equations

Indexed keywords

APPROXIMATE SOLUTION; BESSEL COLLOCATION METHODS; BESSEL POLYNOMIALS; BESSEL POLYNOMIALS AND SERIES; COLLOCATION METHOD; COLLOCATION POINTS; FUNCTIONAL DIFFERENTIAL EQUATIONS; LINEAR FUNCTIONAL; MATRIX METHODS; NUMERICAL SOLUTION; PANTOGRAPH EQUATION;

EID: 84860129388     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20660     Document Type: Article
Times cited : (67)

References (37)
  • 1
    • 0001579514 scopus 로고
    • The dynamics of a current collection system for an electric locomotive
    • J. R. Ockendon, A. B. Tayler, The dynamics of a current collection system for an electric locomotive, Proc R Soc Lond Ser A 322 (1971), 447-468.
    • (1971) Proc R Soc Lond ser A , vol.322 , pp. 447-468
    • Ockendon, J.R.1    Tayler, A.B.2
  • 2
    • 0040821594 scopus 로고    scopus 로고
    • On the asymptotics of solutions of a class of linear functional- differential equations
    • G. A. Derfel, and, F. Vogl, On the asymptotics of solutions of a class of linear functional-differential equations, Eur J Appl Maths 7 (1996), 511-518.
    • (1996) Eur J Appl Maths , vol.7 , pp. 511-518
    • Derfel, G.A.1    Vogl, F.2
  • 3
    • 22044440742 scopus 로고    scopus 로고
    • On neutral functional-differential equations with variable time delays
    • A. Feldstein, and, Y. Liu, 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
    • 0031215228 scopus 로고    scopus 로고
    • The pantograph equation in the complex plane
    • G. Derfel, and, A. Iserles, The pantograph equation in the complex plane, J Math Anal Appl 213 (1997), 117-132.
    • (1997) J Math Anal Appl , vol.213 , pp. 117-132
    • Derfel, G.1    Iserles, A.2
  • 7
    • 0003182225 scopus 로고
    • Generalized refinement equation and subdivision process
    • G. Derfel, N. Dyn, and, D. Levin, Generalized refinement equation and subdivision process, J Approx Theory 80 (1995), 272-297.
    • (1995) J Approx Theory , vol.80 , pp. 272-297
    • Derfel, G.1    Dyn, N.2    Levin, D.3
  • 9
    • 0001687872 scopus 로고
    • A model of stage structured population growth with density depended time delay
    • W. G. Ajello, H. I. Freedman, and, J. Wu, A model of stage structured population growth with density depended time delay, SIAM J Appl Math 52 (1992), 855-869.
    • (1992) SIAM J Appl Math , vol.52 , pp. 855-869
    • Ajello, W.G.1    Freedman, H.I.2    Wu, J.3
  • 10
    • 84968503713 scopus 로고
    • Stability of the discretized pantograph differential equation
    • M. D. Buhmann, and, A. Iserles, Stability of the discretized pantograph differential equation, Math Comput 60 (1993), 575-589.
    • (1993) Math Comput , vol.60 , pp. 575-589
    • Buhmann, M.D.1    Iserles, A.2
  • 11
    • 25644456645 scopus 로고    scopus 로고
    • The approximate solution of high-order linear difference equation with variable coefficients in terms of Taylor polynomials
    • M. Gülsu, and, M. Sezer, 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
  • 12
    • 27844560234 scopus 로고    scopus 로고
    • A method for the approximate solution of the high-order linear difference equation in terms of Taylor polynomials
    • M. Gülsu, and, M. Sezer, A method for the approximate solution of the high-order linear difference equation in terms of Taylor polynomials, Int J Comput Math 82 (2005), 76-88.
    • (2005) Int J Comput Math , vol.82 , pp. 76-88
    • Gülsu, M.1    Sezer, M.2
  • 13
    • 26444543234 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving differential-difference equations
    • M. Gülsu, and, M. Sezer, 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
  • 14
    • 0008254857 scopus 로고
    • A Taylor expansion approach for solving integral equations
    • R. P. Kanwal, and, K. C. Liu, A Taylor expansion approach for solving integral equations, Int J Math Educ Sci Technol 20 (1989), 411-414.
    • (1989) Int J Math Educ Sci Technol , vol.20 , pp. 411-414
    • Kanwal, R.P.1    Liu, K.C.2
  • 15
    • 25644449925 scopus 로고    scopus 로고
    • A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations
    • Ş. Nas, S. YalçÄnbaŞ, and, M. Sezer, A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations, Int J Math Educ Sci Technol 31 (200), 213-225.
    • Int J Math Educ Sci Technol , vol.31 , Issue.200 , pp. 213-225
    • Nas, Ş.1    Yalçänbaş, S.2    Sezer, M.3
  • 16
    • 85016783294 scopus 로고    scopus 로고
    • A method fort he approximate solution of the second order linear differential equations in terms of Taylor polynomials
    • M. Sezer, A method fort he approximate solution of the second order linear differential equations in terms of Taylor polynomials, Int J Math Educ Sci Technol 27 (1996), 821-834.
    • (1996) Int J Math Educ Sci Technol , vol.27 , pp. 821-834
    • Sezer, M.1
  • 17
    • 28444445911 scopus 로고    scopus 로고
    • A new polynomial approach for solving difference and Fredholm integro-diffrence equation with mixed argument
    • M. Sezer, and, M. Gülsu, A new polynomial approach for solving difference and Fredholm integro-diffrence equation with mixed argument, Appl Math Comput 171 (2005), 332-344.
    • (2005) Appl Math Comput , vol.171 , pp. 332-344
    • Sezer, M.1    Gülsu, M.2
  • 18
    • 0000992795 scopus 로고    scopus 로고
    • The approximate solution of high-order linear Volterra-Fredholm integro-diffrential equations in terms of Taylor polynomials
    • S. YalçÄnbaŞ, and, M. Sezer, The approximate solution of high-order linear Volterra-Fredholm integro-diffrential equations in terms of Taylor polynomials, Appl Math Comput 112 (2000), 291-308.
    • (2000) Appl Math Comput , vol.112 , pp. 291-308
    • Yalçänbaş, S.1    Sezer, M.2
  • 19
    • 39049148015 scopus 로고    scopus 로고
    • Approximate solution of multi-pantograph equation with variable coefficients
    • M. Sezer, S. YalçinbaŞ, and, N. Şahin, Approximate solution of multi-pantograph equation with variable coefficients, J Comput Appl Math 214 (2008), 406-416.
    • (2008) J Comput Appl Math , vol.214 , pp. 406-416
    • Sezer, M.1    Yalçinbaş, S.2    Şahin, N.3
  • 20
    • 46249090052 scopus 로고    scopus 로고
    • A taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term
    • M. Sezer, S. YalçinbaŞ, and, M. Gülsu, A taylor polynomial approach for solving generalized pantograph equations with nonhomogenous term, Int J Comput Math 85 (2008), 1055-1063.
    • (2008) Int J Comput Math , vol.85 , pp. 1055-1063
    • Sezer, M.1    Yalçinbaş, S.2    Gülsu, M.3
  • 22
    • 3242732129 scopus 로고    scopus 로고
    • Properties of analytic solution and numerical solution and multi-pantograph equation
    • M. Z. Liu, and, D. Li, 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
  • 23
    • 27944439311 scopus 로고    scopus 로고
    • The Adomain decomposition method for solving delay differential equation
    • D. J. Evans, and, K. R. Raslan, The Adomain decomposition method for solving delay differential equation, Int J Comput Math 82 (2005), 49-54.
    • (2005) Int J Comput Math , vol.82 , pp. 49-54
    • Evans, D.J.1    Raslan, K.R.2
  • 24
    • 3242732129 scopus 로고    scopus 로고
    • Properties of analytic solution and numerical solution of multi-pantograph equation
    • M. Z. Liu, and, D. Li, Properties of analytic solution and numerical solution of 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
  • 25
    • 0037336074 scopus 로고    scopus 로고
    • On the attainable order of collocation methods for pantograph integro-differential equations
    • Y. Muroya, E. Ishiwata, and, H. Brunner, 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
  • 26
    • 55349117771 scopus 로고    scopus 로고
    • Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients
    • N. Kurt, and, M. Sezer, Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients, J Franklin Inst 345 (2008), 839-850.
    • (2008) J Franklin Inst , vol.345 , pp. 839-850
    • Kurt, N.1    Sezer, M.2
  • 27
    • 33750956351 scopus 로고    scopus 로고
    • A Taylor method for numerical solution of generalized pantograph equations with lineer functional argument
    • M. Sezer, and, A. Akyüz-DaŞcÄoǧlu, A Taylor method for numerical solution of generalized pantograph equations with lineer functional argument, J Comput Appl Math 200 (2007), 217-225.
    • (2007) J Comput Appl Math , vol.200 , pp. 217-225
    • Sezer, M.1    Akyüz-Daşcäoçlu, A.2
  • 33
    • 84859348323 scopus 로고    scopus 로고
    • Bernstein series solutions of Pantografph equations using polynomial interpolation
    • DOI: 10.1080/10236198.2010.496456
    • O. R. IŞÄk, Z. Güney, and, M. Sezer, Bernstein series solutions of Pantografph equations using polynomial interpolation, J Differ Equation Appl, DOI: 10.1080/10236198.2010.496456.
    • J Differ Equation Appl
    • Işäk, O.R.1    Güney, Z.2    Sezer, M.3
  • 36
    • 52949089291 scopus 로고    scopus 로고
    • Variational iteration method for solving the multi-pantograph delay equation
    • Zhan-Hua Yu, Variational iteration method for solving the multi-pantograph delay equation, Phys Lett A 372 (2008), 6475-6479.
    • (2008) Phys Lett A , vol.372 , pp. 6475-6479
    • Yu, Z.-H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.