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Volumn 4, Issue 1, 2009, Pages 49-61

Spectral methods for pantograph-type differential and integral equations with multiple delays

Author keywords

Convergence analysis; Delay differential equation; Legendre spectral method; Multiple vanishing delays; Volterra functional integral equation

Indexed keywords


EID: 60449101518     PISSN: 16733452     EISSN: 16733576     Source Type: Journal    
DOI: 10.1007/s11464-009-0010-z     Document Type: Article
Times cited : (85)

References (17)
  • 5
    • 0040821594 scopus 로고    scopus 로고
    • On the asymptotics of solutions of a class of linear functional- differential equations
    • G. A. Derfel F. Vogl 1996 On the asymptotics of solutions of a class of linear functional-differential equations Europ J Appl Math 7 511 518
    • (1996) Europ J Appl Math , vol.7 , pp. 511-518
    • Derfel, G.A.1    Vogl, F.2
  • 6
    • 30344459133 scopus 로고    scopus 로고
    • Short proofs and a counterexample for analytical and numerical stability of delay equations with infinite memory
    • N. Guglielmi 2006 Short proofs and a counterexample for analytical and numerical stability of delay equations with infinite memory IMA J Numer Anal 26 60 77
    • (2006) IMA J Numer Anal , vol.26 , pp. 60-77
    • Guglielmi, N.1
  • 7
    • 0034891830 scopus 로고    scopus 로고
    • Implementing Radau IIA methods for stiff delay differential equations
    • N. Guglielmi E. Hairer 2001 Implementing Radau IIA methods for stiff delay differential equations Computing 67 1 12
    • (2001) Computing , vol.67 , pp. 1-12
    • Guglielmi, N.1    Hairer, E.2
  • 8
    • 52649085452 scopus 로고
    • On the generalized pantograph functional-differential equation
    • A. Iserles 1993 On the generalized pantograph functional-differential equation Europ J Appl Math 4 1 38
    • (1993) Europ J Appl Math , vol.4 , pp. 1-38
    • Iserles, A.1
  • 9
    • 84893735286 scopus 로고
    • On pantograph integro-differential equations
    • A. Iserles Y. -K. Liu 1994 On pantograph integro-differential equations J Integral Equations Appl 6 213 237
    • (1994) J Integral Equations Appl , vol.6 , pp. 213-237
    • Iserles, A.1    L. Y, -K.2
  • 10
    • 0000826399 scopus 로고    scopus 로고
    • On the attainable order of collocation methods for the neutral functionaldi differential equations with proportional delays
    • E. Ishiwata 2000 On the attainable order of collocation methods for the neutral functionaldi differential equations with proportional delays Computing 64 207 222
    • (2000) Computing , vol.64 , pp. 207-222
    • Ishiwata, E.1
  • 11
    • 2942679579 scopus 로고    scopus 로고
    • Asymptotic stability of numerical solution of pantograph delay differential equations
    • D. Li M. Z. Liu 1999 Asymptotic stability of numerical solution of pantograph delay differential equations J Harbin Inst Tech 31 57 59
    • (1999) J Harbin Inst Tech , vol.31 , pp. 57-59
    • Li, D.1    Liu, M.Z.2
  • 12
    • 3242732129 scopus 로고    scopus 로고
    • Properties of analytic solution and numerical solution of multipantograph equation
    • M. Z. Liu D. Li 2004 Properties of analytic solution and numerical solution of multipantograph equation Appl Math Comput 155 853 871
    • (2004) Appl Math Comput , vol.155 , pp. 853-871
    • Liu, M.Z.1    Li, D.2
  • 13
    • 0035449760 scopus 로고    scopus 로고
    • Optimal systems of nodes for Lagrange interpolation on bounded intervals: A survey
    • G. Mastroianni D. Occorsio 2001 Optimal systems of nodes for Lagrange interpolation on bounded intervals: A survey J Comput Appl Math 134 325 341
    • (2001) J Comput Appl Math , vol.134 , pp. 325-341
    • Mastroianni, G.1    Occorsio, D.2
  • 14
    • 0242401394 scopus 로고    scopus 로고
    • The numerical stability of the θ-method for delay differential equations with many variable delays
    • L. Qiu T. Mitsui J. X. Kuang 1999 The numerical stability of the θ-method for delay differential equations with many variable delays J Comput Math 17 523 532
    • (1999) J Comput Math , vol.17 , pp. 523-532
    • Qiu, L.1    Mitsui, T.2    Kuang, J.X.3
  • 16
    • 57149087968 scopus 로고    scopus 로고
    • On spectral methods for Volterra type integral equations and the convergence analysis
    • T. Tang X. Xu J. Cheng 2008 On spectral methods for Volterra type integral equations and the convergence analysis J Comput Math 26 825 837
    • (2008) J Comput Math , vol.26 , pp. 825-837
    • Tang, T.1    Xu, X.2    Cheng, J.3
  • 17
    • 46949088077 scopus 로고    scopus 로고
    • The attainable order of the collocation method for doublepantograph delay differential equation
    • J. Zhao Y. Xu Y. Qiao 2005 The attainable order of the collocation method for doublepantograph delay differential equation Numer Math J Chinese Univ 27 297 308
    • (2005) Numer Math J Chinese Univ , vol.27 , pp. 297-308
    • Zhao, J.1    Xu, Y.2    Qiao, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.