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Volumn 27, Issue 2, 2009, Pages 254-265

A spectral method for pantograph-type delay differential equations and its convergence analysis

Author keywords

Spectral methods; Legendre quadrature formula; Pantograph type delay differential equations; Error analysis; Exponential convergence

Indexed keywords


EID: 65349141740     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (94)

References (14)
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  • 2
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  • 5
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    • Optimal superconvergence results for delay integro-differential equations of pantograph type
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    • (2007) SIAM J. Numer. Anal. , vol.45 , pp. 986-1004
    • Brunner, H.1    Hu, Q.-Y.2
  • 8
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    • On the generalized pantograph functional differential equation
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    • (1993) Europ. J. Appl. Math. , vol.4 , pp. 1-38
    • Iserles, A.1
  • 9
    • 0000427731 scopus 로고
    • On nonlinear delay-differential equations
    • A. Iserles, On nonlinear delay-differential equations, Trans. Amer. Math. Soc. 344(1994), 441-477.
    • (1994) Trans. Amer. Math. Soc. , vol.344 , pp. 441-477
    • Iserles, A.1
  • 10
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    • Kato, T.1    McLeod, J.B.2
  • 11
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    • (2001) J. Comput. Appl. Math. , vol.134 , pp. 325-341
    • Mastroianni, G.1    Occorsio, D.2
  • 13
    • 61349147774 scopus 로고    scopus 로고
    • Accuracy enhancement using spectral postprocessing for differential equations and integral equations
    • T. Tang and X. Xu, Accuracy enhancement using spectral postprocessing for differential equations and integral equations. Commun. Comput. Phys., 5(2009), 779-792.
    • (2009) Commun. Comput. Phys. , vol.5 , pp. 779-792
    • Tang, T.1    Xu, X.2
  • 14
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    • On spectral methods for Volterra type integral equations and the convergence analysis
    • T. Tang, X. Xu and J. Cheng, On spectral methods for Volterra type integral equations and the convergence analysis. J. Comput. Math., 26(2008), 825-837.
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    • Tang, T.1    Xu, X.2    Cheng, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.