We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Maximal Order Block Method For The Solution Of Second Order Ordinary Differential Equations.
- Authors
Adeyeye, Oluwaseun; Omar, Zurni
- Abstract
Block methods have been seen to be an adequate numerical method for finding the approximate solution to second order ordinary differential equations. Thus, this article presents a block method of maximal order for the direct solution of second order initial and boundary value problems. Taylor series expansion approach is adopted for the derivation of the block methods. From the numerical results obtained, this new block method performs better than previous numerical methods in existence in terms of accuracy, when compared to the exact solution of the numerical problems considered.
- Subjects
ORDINARY differential equations; APPROXIMATION theory; BOUNDARY value problems; EXISTENCE theorems; DERIVATIVES (Mathematics)
- Publication
IAENG International Journal of Applied Mathematics, 2016, Vol 46, Issue 4, p418
- ISSN
1992-9978
- Publication type
Article