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Volumn 72, Issue 1, 1999, Pages 15-27

Continuous finite difference approximations for solving differential equations

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PIECEWISE LINEAR TECHNIQUES; POLYNOMIALS; PROBLEM SOLVING;

EID: 0033157565     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169908804831     Document Type: Article
Times cited : (39)

References (14)
  • 1
    • 0003237339 scopus 로고
    • Numerical solution of two-point boundary value problems
    • SIAM, Philadelphia
    • Keller, H. B. (1976). Numerical Solution of two-point boundary value problems, Regional Conference Series in Applied Mathematics, 24, SIAM, Philadelphia.
    • (1976) Regional Conference Series in Applied Mathematics , vol.24
    • Keller, H.B.1
  • 2
    • 0002861433 scopus 로고
    • An adaptive finite difference solver for nonlinear two-point boundary value problems with mild boundary layers
    • Lentini, M. and Pereyra, V. (1977). An adaptive finite difference solver for nonlinear two-point boundary value problems with mild boundary layers, SIAM J. Numer. Anal., 14, 91-111.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 91-111
    • Lentini, M.1    Pereyra, V.2
  • 4
    • 84966249957 scopus 로고
    • An analysis of a singularly perturbed two-point boundary value probem using only finite element techniques
    • Stynes, M. and O'riordan, E. (1991). An analysis of a singularly perturbed two-point boundary value probem using only finite element techniques, Mathematics of Computation, 56(194), 663-675.
    • (1991) Mathematics of Computation , vol.56 , Issue.194 , pp. 663-675
    • Stynes, M.1    O'riordan, E.2
  • 5
    • 0343024459 scopus 로고
    • New linear multistep methods with continuous coefficients for first order IVPS
    • Onumanyi, P., Awoyemi, D. O., Jator, S. N. and Sirisena, U. W. (1994). New Linear Multistep Methods with continuous coefficients for first order IVPS, J. Nig. Math. Soc., 13, 37-51.
    • (1994) J. Nig. Math. Soc. , vol.13 , pp. 37-51
    • Onumanyi, P.1    Awoyemi, D.O.2    Jator, S.N.3    Sirisena, U.W.4
  • 6
    • 84860712871 scopus 로고
    • Superconvergence for multistep collocation
    • Lie, I. and Norsett, S. P. (1989). Superconvergence for multistep collocation, Math. Comp., 52(185), 65-79.
    • (1989) Math. Comp. , vol.52 , Issue.185 , pp. 65-79
    • Lie, I.1    Norsett, S.P.2
  • 9
    • 85037956452 scopus 로고    scopus 로고
    • Ph.D. Thesis in preparation, University of Ilorin, Ilorin, Nigeria to appear
    • Jator, S. N., Ph.D. Thesis in preparation, University of Ilorin, Ilorin, Nigeria (1997 to appear).
    • (1997)
    • Jator, S.N.1
  • 10
    • 0022412915 scopus 로고
    • One-step collocation: Uniform superconvergence, predictor-corrector method, local error estimate
    • Zennaro, M. (1985). One-step Collocation: Uniform Superconvergence, Predictor-Corrector Method, Local Error Estimate, SIAM J. Numer. Anal., 22(6), 1135-1152.
    • (1985) SIAM J. Numer. Anal. , vol.22 , Issue.6 , pp. 1135-1152
    • Zennaro, M.1
  • 11
    • 0343895858 scopus 로고
    • New algorithms for the continuous approximate solution of ordinary differential equations and the upgrading of the order of the processes
    • Sarafyan, D. (1990). New algorithms for the continuous approximate solution of ordinary differential equations and the upgrading of the order of the processes, Comp. Math. Applic., 20(1), 77-100.
    • (1990) Comp. Math. Applic. , vol.20 , Issue.1 , pp. 77-100
    • Sarafyan, D.1
  • 12
    • 0342590228 scopus 로고
    • The convergence of integrand approximation formulas for the numerical solution of ivps for odes
    • Jackson, K. R. (1988). The convergence of integrand approximation formulas for the numerical solution of ivps for odes, SIAM J. Numer. Anal., 25(1), 163-188.
    • (1988) SIAM J. Numer. Anal. , vol.25 , Issue.1 , pp. 163-188
    • Jackson, K.R.1
  • 14
    • 85037960913 scopus 로고    scopus 로고
    • Ph. D. Thesis in preparation, University of Ilorin, Ilorin, Nigeria, to appear
    • Sirisena, U. W., Ph. D. Thesis in preparation, University of Ilorin, Ilorin, Nigeria, (1997 to appear).
    • (1997)
    • Sirisena, U.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.