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Volumn 79, Issue 4, 2008, Pages 1358-1367

Fractional Adams-Moulton methods

Author keywords

Adams Moulton; Convergence; Fractional differential equation; Multistep method; Stability

Indexed keywords

DIFFERENTIAL EQUATIONS; DYNAMICAL SYSTEMS; SCHRODINGER EQUATION; STABILITY; SYSTEM STABILITY;

EID: 56949091229     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2008.03.008     Document Type: Article
Times cited : (70)

References (17)
  • 1
    • 0012899160 scopus 로고    scopus 로고
    • Numerical solution of the Bagley-Torvik equation
    • Diethelm K., and Ford N.J. Numerical solution of the Bagley-Torvik equation. BIT 42 3 (2002) 490-507
    • (2002) BIT , vol.42 , Issue.3 , pp. 490-507
    • Diethelm, K.1    Ford, N.J.2
  • 2
    • 4043121080 scopus 로고    scopus 로고
    • Detailed error analysis for a fractional Adams method
    • Diethelm K., Ford N.J., and Freed A.D. Detailed error analysis for a fractional Adams method. Numer. Algorithms 36 1 (2004) 31-52
    • (2004) Numer. Algorithms , vol.36 , Issue.1 , pp. 31-52
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 3
    • 26444438049 scopus 로고    scopus 로고
    • Pitfalls in fast numerical solvers for fractional differential equations
    • Diethelm K., Ford J.M., Ford N.J., and Weilbeer M. Pitfalls in fast numerical solvers for fractional differential equations. J. Comput. Appl. Math. 186 2 (2006) 482-503
    • (2006) J. Comput. Appl. Math. , vol.186 , Issue.2 , pp. 482-503
    • Diethelm, K.1    Ford, J.M.2    Ford, N.J.3    Weilbeer, M.4
  • 4
    • 33646341532 scopus 로고    scopus 로고
    • Comparison of numerical methods for fractional differential equations
    • Ford N.J., and Connolly J.A. Comparison of numerical methods for fractional differential equations. Commun. Pure Appl. Anal. 5 2 (2006) 289-306
    • (2006) Commun. Pure Appl. Anal. , vol.5 , Issue.2 , pp. 289-306
    • Ford, N.J.1    Connolly, J.A.2
  • 5
    • 33751534763 scopus 로고    scopus 로고
    • On multistep methods for differential equations of fractional order
    • Galeone L., and Garrappa R. On multistep methods for differential equations of fractional order. Mediterr. J. Math. 3 34 (2006) 565-580
    • (2006) Mediterr. J. Math. , vol.3 , Issue.34 , pp. 565-580
    • Galeone, L.1    Garrappa, R.2
  • 7
    • 0009173868 scopus 로고
    • Automatic computations with power series
    • Henrici P. Automatic computations with power series. J. Assoc. Comput. Mach. 3 (1956) 10-15
    • (1956) J. Assoc. Comput. Mach. , vol.3 , pp. 10-15
    • Henrici, P.1
  • 10
    • 0000449295 scopus 로고
    • On the stability of linear multistep methods for Volterra convolution equations
    • Lubich C. On the stability of linear multistep methods for Volterra convolution equations. IMA J. Numer. Anal. 3 4 (1983) 439-465
    • (1983) IMA J. Numer. Anal. , vol.3 , Issue.4 , pp. 439-465
    • Lubich, C.1
  • 11
    • 84966227123 scopus 로고
    • Fractional linear multistep methods for Abel-Volterra integral equations of the second kind
    • Lubich C. Fractional linear multistep methods for Abel-Volterra integral equations of the second kind. Math. Comp. 45 172 (1985) 463-469
    • (1985) Math. Comp. , vol.45 , Issue.172 , pp. 463-469
    • Lubich, C.1
  • 12
    • 0000717432 scopus 로고
    • Discretized fractional calculus
    • Lubich C. Discretized fractional calculus. SIAM J. Math. Anal. 17 3 (1986) 704-719
    • (1986) SIAM J. Math. Anal. , vol.17 , Issue.3 , pp. 704-719
    • Lubich, C.1
  • 13
    • 0041938913 scopus 로고
    • A stability analysis of convolution quadratures for Abel-Volterra integral equations
    • Lubich C. A stability analysis of convolution quadratures for Abel-Volterra integral equations. IMA J. Numer. Anal. 6 1 (1986) 87-101
    • (1986) IMA J. Numer. Anal. , vol.6 , Issue.1 , pp. 87-101
    • Lubich, C.1
  • 15
    • 34250498276 scopus 로고
    • A criterion for A (α)-stability of linear multistep methods
    • Nørsett S.P. A criterion for A (α)-stability of linear multistep methods. Nordisk Tidskr. Informationsbehandling (BIT) 9 (1969) 259-263
    • (1969) Nordisk Tidskr. Informationsbehandling (BIT) , vol.9 , pp. 259-263
    • Nørsett, S.P.1
  • 17
    • 0007851839 scopus 로고
    • The construction of reducible quadrature rules for Volterra integral and integro-differential equations
    • Wolkenfelt P.H.M. The construction of reducible quadrature rules for Volterra integral and integro-differential equations. IMA J. Numer. Anal. 2 2 (1982) 131-152
    • (1982) IMA J. Numer. Anal. , vol.2 , Issue.2 , pp. 131-152
    • Wolkenfelt, P.H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.