Share This Article:

Numerical Solutions of Initial Value Ordinary Differential Equations Using Finite Difference Method

DOI: 10.4236/oalib.1101614    904 Downloads   1,647 Views  

ABSTRACT

Initial value ordinary differential equations arise in formulation of problems in various fields such as physics and Engineering. The present paper shows the method how to solve the initial value ordinary differential equation on some interval by using finite difference method in a very accurate manner with the formulation of error estimation.

Cite this paper

Yizengaw, N. (2015) Numerical Solutions of Initial Value Ordinary Differential Equations Using Finite Difference Method. Open Access Library Journal, 2, 1-7. doi: 10.4236/oalib.1101614.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Burden, R.L. and Faires, J.D. (2011) Numerical Analysis. 9th Edition, Brookscole, Boston, 259-253.
[2] Kumar, M. and Mishra, G. (2011) An Introduction to Numerical Methods for the Solutions of Partial Differential Equations. American Journal of Mathematics, 2, 1327-1338.
[3] Colletz, L. (1966) The Numerical Treatment of Differential Equations. 3rd Edition, Vol. 60, Springer-Verlag, Berlin, 48-94.
[4] Iyengar, S.R.K. and Jain, R.K. (2009) Numerical Methods. New Age International Publishers, New Delhi, 182-184.
[5] Hoffman, J.D. (2001) Numerical Methods for Engineers and Scientists. 2nd Edition, Marcel Dekker, Inc., New York, 323-416.
[6] Kress, R. (1998) Graduate Texts in Mathematics. Springer-Verlag, New York.
[7] Grewal, B.S. (2002) Numerical Methods in Engineering & Science. 6th Edition, Khanna Publishers, India.

  
comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.