- 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 .
- 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 .
- Awoyemi , D. O. 2001 . A new sixth-order algorithm for general second order ordinary differential equations . Inter. J. Comput. Math. , 77 : 117 – 124 .
- Brown , R. L. 1974 . Multiderivative numerical methods for solution of stiff ODEs , Report No UIUCDCS-R-74-672
- Brown , R. L. 1977 . Some characteristics of implicitly multistep multiderivative integration formulas . SIAM J. Numer. Anal. , 14 : 982 – 993 .
- Enright , W. H. 1974a . Second derivative multistep methods for stiff ODEs . SIAMJ. Numer. Anal , 11 : 321 – 331 .
- Enright , W. H. 1974b . “ Optimal second derivative methods for stiff system. ” . In Conference on stiff Differential Systems , Edited by: Willoughby , R. A. 95 – 109 . New York : Plenum Publishing Co. .
- Fatunla , S. O. 1988 . Numerical Methods for Initial Value Problems in Ordinary Differential Equations , New York : Academic Press Inc. .
- Jelsch , R. and Kratz , L. 1978 . On the stability properties of Brown's multistep multiderivative methods . Numerische Mathematik , 30 : 31 – 38 .
- Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , New York : John Wiley .
- 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 .
- Wanner , G. , Hairer , E. M. and Norsett , S. R. 1978 . Order stars and stability theorems . BIT , 18 : 475 – 489 .
- 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 .
- Twizell , E. H. and Khaliq , A. Q. M. 1981 . One step multiderivative methods for first order ordinary differential Equations . BIT , 21 : 518 – 527 .
- Twizell , E. H. and Khaliq , A. Q. M. 1984 . Multiderivative methods for periodic IVPs . J. Numer. Anal , 21 : 111 – 121 .
A P-Stable Linear Multistep Method For Solving General Third Order Ordinary Differential Equations
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