Journal of Engineering and Applied Sciences
Year:
2018
Volume:
13
Issue:
10
Page No.
3500 - 3504
Computational Complexity Analysis of Developing Block Methods for
Solving Second Order Ordinary Differential Equations using
Numerical Integration, Collocation and Linear Block Approach
Authors :
Oluwaseun Adeyeye
and
Zurni Omar
References
Awoyemi, D.O., 2003. A P-stable linear multistep method for solving general third order ordinary differential equations. Int. J. Comput. Math., 8: 985-991.
CrossRef | Butcher, J.C., 2008. Numerical Methods for Ordinary Differential Equations. John Wiley and Sons, UK.
Fatunla, S.O., 1988. Numerical Methods for Initial Value Problems in Ordinary Differential Equations. Academic Press Inc., London.
Kayode, S.J. and O. Adeyeye, 2011. A 3-step hybrid method for direct solution of second order initial value problems. Aust. J. Basic Appl. Sci., 5: 2121-2126.
Lambert, J.D., 1973. Computational Methods in Ordinary Differential Equations. John Wiley and Sons, New York, USA., ISBN-13: 9780471511946, Pages: 278.
Milne, W.E., 1953. Numerical Solution of Ordinary Differential Equations. John Wiley & Sons, New York, USA.,.
Olabode, B.T., 2009. An accurate scheme by block method for the third order ordinary differential equation. Pacific J. Sci. Technol., 10: 136-142.
Direct Link | Omar, Z. and J.O. Kuboye, 2015. Derivation of block methods for solving second order ordinary differential equations directly using direct integration and collocation approaches. Ind. J. Sci. Technol., 8: 1-4.
CrossRef | Direct Link | Sarafyan, D., 1965. Multistep methods for the numerical solution of ODEs made self-starting. Technical Report No. 495, Mathematics Research Center, Madison, Wisconsin.