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Volumn 80, Issue 8, 2003, Pages 985-991

A P-stable linear multistep method for solving general third order ordinary differential equations

Author keywords

Corrector; Linear multistep method; P stable; Predictor; Stiff and non stiff initial value problems; Third order IVPS of ODEs

Indexed keywords

ERROR CORRECTION; EVALUATION; INITIAL VALUE PROBLEMS;

EID: 27844574097     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/0020716031000079572     Document Type: Article
Times cited : (72)

References (15)
  • 1
    • 27844457866 scopus 로고    scopus 로고
    • An efficient two-step numerical integrator for general second order ordinary differential equations
    • Awoyemi, D. O. (1996). An efficient two-step numerical integrator for general second order ordinary differential equations. ABACUS, Journal of the Mathematical Association of Nigeria, 24(2), 31-43.
    • (1996) ABACUS, Journal of the Mathematical Association of Nigeria , vol.24 , Issue.2 , pp. 31-43
    • Awoyemi, D.O.1
  • 2
    • 0033157801 scopus 로고    scopus 로고
    • A class of continuous methods for general second order initial value problems in ordinary differential equations
    • Awoyemi, D. O. (1999). A class of continuous methods for general second order initial value problems in ordinary differential equations. Inter. J. Comput. Math., 72, 29-37.
    • (1999) Inter. J. Comput. Math. , vol.72 , pp. 29-37
    • Awoyemi, D.O.1
  • 3
    • 0034956083 scopus 로고    scopus 로고
    • A new sixth-order algorithm for general second order ordinary differential equations
    • Awoyemi, D. O. (2001). A new sixth-order algorithm for general second order ordinary differential equations. Inter. J. Comput. Math., 77, 117-124.
    • (2001) Inter. J. Comput. Math. , vol.77 , pp. 117-124
    • Awoyemi, D.O.1
  • 5
    • 27844604774 scopus 로고
    • Some characteristics of implicitly multistep multiderivative integration formulas
    • Brown, R. L. (1977). Some characteristics of implicitly multistep multiderivative integration formulas. SIAM J. Numer. Anal., 14, 982-993.
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 982-993
    • Brown, R.L.1
  • 6
    • 0016047307 scopus 로고
    • Second derivative multistep methods for stiff ODEs
    • Enright, W. H. (1974a). Second derivative multistep methods for stiff ODEs. SIAM J. Numer. Anal., 11, 321-331.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 321-331
    • Enright, W.H.1
  • 7
    • 28244477464 scopus 로고
    • Optimal second derivative methods for stiff system
    • Willoughby, R. A. (Ed.). Plenum Publishing Co., New York
    • Enright, W. H. (1974b). Optimal second derivative methods for stiff system. In: Willoughby, R. A. (Ed.), Conference on stiff Differential Systems. Plenum Publishing Co., New York, pp. 95-109.
    • (1974) Conference on Stiff Differential Systems , pp. 95-109
    • Enright, W.H.1
  • 9
    • 27844505913 scopus 로고
    • On the stability properties of Brown's multistep multiderivative methods
    • Jelsch, R. and Kratz, L. (1978). On the stability properties of Brown's multistep multiderivative methods. Numerische Mathematik, 30, 31-38.
    • (1978) Numerische Mathematik , vol.30 , pp. 31-38
    • Jelsch, R.1    Kratz, L.2
  • 11
    • 0020133170 scopus 로고
    • Short communication numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error
    • Onumanyi, P. and Oritz, E. L. (1982). Short communication numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error. Int. J. Numer. Meth. Eng., 18, 775-797.
    • (1982) Int. J. Numer. Meth. Eng. , vol.18 , pp. 775-797
    • Onumanyi, P.1    Oritz, E.L.2
  • 12
    • 31644432026 scopus 로고
    • Order stars and stability theorems
    • Wanner, G., Hairer, E. M. and Norsett, S. R. (1978). Order stars and stability theorems. BIT, 18, 475-489.
    • (1978) BIT , vol.18 , pp. 475-489
    • Wanner, G.1    Hairer, E.M.2    Norsett, S.R.3
  • 13
    • 0002923120 scopus 로고
    • Mesh selection in collocation for boundary value problems
    • Wright, K., Ahmed, A. H. A. and Seleman, A. H. (1991). Mesh selection in collocation for boundary value problems. IMA J. Numer. Anal., 11, 7-20.
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 7-20
    • Wright, K.1    Ahmed, A.H.A.2    Seleman, A.H.3
  • 14
    • 0019714201 scopus 로고
    • One step multiderivative methods for first order ordinary differential Equations
    • Twizell, E. H. and Khaliq, A. Q. M. (1981). One step multiderivative methods for first order ordinary differential Equations. BIT, 21, 518-527.
    • (1981) BIT , vol.21 , pp. 518-527
    • Twizell, E.H.1    Khaliq, A.Q.M.2
  • 15
    • 0021382438 scopus 로고
    • Multiderivative methods for periodic IVPs
    • Twizell, E. H. and Khaliq, A. Q. M. (1984). Multiderivative methods for periodic IVPs. J. Numer. Anal., 21, 111-121.
    • (1984) J. Numer. Anal. , vol.21 , pp. 111-121
    • Twizell, E.H.1    Khaliq, A.Q.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.