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.
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.
