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Volumn 8, Issue 2, 2007, Pages 159-164

Approximate solutions of generalized pantograph equations by the differential transform method

Author keywords

Delay differential equation; Differential transformation method; Pantograph equations

Indexed keywords


EID: 34249875994     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2007.8.2.159     Document Type: Article
Times cited : (47)

References (16)
  • 1
    • 0001687872 scopus 로고
    • A model of stage structured population growth with density dependent time delay
    • Ajello WG, Freedman HI, Wu J. A model of stage structured population growth with density dependent time delay, SIAM J. Appl. Math. 52: 855-869(1992)
    • (1992) SIAM J. Appl. Math , vol.52 , pp. 855-869
    • Ajello, W.G.1    Freedman, H.I.2    Wu, J.3
  • 2
    • 0001579514 scopus 로고
    • The dynamics of a current collection system for an electic locomotive
    • Ockendon JR, Tayler AB. The dynamics of a current collection system for an electic locomotive, Proc. Royal Soc. London Ser. A 322:447-468(1971)
    • (1971) Proc. Royal Soc. London Ser. A , vol.322 , pp. 447-468
    • Ockendon, J.R.1    Tayler, A.B.2
  • 4
    • 27744531467 scopus 로고    scopus 로고
    • Periodic solutions and bifurcations of delay-differential equations
    • He JH. Periodic solutions and bifurcations of delay-differential equations, Physics Letters A, 347: 228-230(2005)
    • (2005) Physics Letters A , vol.347 , pp. 228-230
    • He, J.H.1
  • 5
    • 33750956351 scopus 로고    scopus 로고
    • A Taylor method for numerical solution of generalized pantograph equations with linear functional argument
    • Sezer M, Akyüz-Daşcioǧlu A. A Taylor method for numerical solution of generalized pantograph equations with linear functional argument, Journal of Computational and Applied Mathematics, 200: 217-225(2007)
    • (2007) Journal of Computational and Applied Mathematics , vol.200 , pp. 217-225
    • Sezer, M.1    Akyüz-Daşcioǧlu, A.2
  • 6
    • 0031215228 scopus 로고    scopus 로고
    • The pantograph equation in the complex plane
    • Derfel G, Iserles A. The pantograph equation in the complex plane, J. Math. Anal. Appl., 213: 117-132(1997)
    • (1997) J. Math. Anal. Appl , vol.213 , pp. 117-132
    • Derfel, G.1    Iserles, A.2
  • 7
    • 52649085452 scopus 로고
    • On the generalized pantograph functional-differential equation
    • Iserles A, On the generalized pantograph functional-differential equation, European J. Appl. Math. 4: 1-38(1992)
    • (1992) European J. Appl. Math , vol.4 , pp. 1-38
    • Iserles, A.1
  • 9
    • 3242732129 scopus 로고    scopus 로고
    • Properties of analytic solution and numerical solution of multi-pantograph equation
    • Liu MZ, D. Li D. Properties of analytic solution and numerical solution of multi-pantograph equation, Applied mathematics and computation, 155: 853-871 (2004)
    • (2004) Applied mathematics and computation , vol.155 , pp. 853-871
    • Liu, M.D.1    Li, D.2
  • 10
    • 0037336074 scopus 로고    scopus 로고
    • On the attainable order of collocation methods for pantograph integro differential equations
    • Muroya Y, Ishiwata E, Brunner H. On the attainable order of collocation methods for pantograph integro differential equations, Journal of comput. Appl. Math., 152: 347-366(2003)
    • (2003) Journal of comput. Appl. Math , vol.152 , pp. 347-366
    • Muroya, Y.1    Ishiwata, E.2    Brunner, H.3
  • 12
    • 0031212297 scopus 로고    scopus 로고
    • Numerical investigation of the pantograph equation
    • Liu Y. Numerical investigation of the pantograph equation, Applied Numerical Matehematics, 24: 309-317 (1997)
    • (1997) Applied Numerical Matehematics , vol.24 , pp. 309-317
    • Liu, Y.1
  • 13
    • 3142599439 scopus 로고    scopus 로고
    • Application of differential transformation to transient advective-dispersive transport equation
    • Chen CK, Ju SP. Application of differential transformation to transient advective-dispersive transport equation, Appl. Math. Comp. 155:25-38(2004)
    • (2004) Appl. Math. Comp , vol.155 , pp. 25-38
    • Chen, C.K.1    Ju, S.P.2
  • 14
    • 33749517865 scopus 로고    scopus 로고
    • Solution of differential-difference equations by using differential transform method
    • Arikoglu A, Ozkol I. Solution of differential-difference equations by using differential transform method, Applied Mathematics and Computation, 181: 153-162(2006)
    • (2006) Applied Mathematics and Computation , vol.181 , pp. 153-162
    • Arikoglu, A.1    Ozkol, I.2
  • 15
    • 27944448835 scopus 로고    scopus 로고
    • The differential transform approximation for the system of ordinary differential equations
    • Kurnaz A, Oturanç G. The differential transform approximation for the system of ordinary differential equations, International Journal of Computer Mathematics 82:709-719 (2005)
    • (2005) International Journal of Computer Mathematics , vol.82 , pp. 709-719
    • Kurnaz, A.1    Oturanç, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.