Edeki, S.O. and Opanuga, A. A. and Okagbue, H. I. (2014) On iterative techniques for numerical solutions of linear and nonlinear differential equations. Journal of Mathematical and Computational Science, 4 (4). pp. 716-727.
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Abstract
This paper presents Differential Transformation Method (DTM) and Picard’s Iterative Method (PIM) as computational techniques in solving linear and nonlinear differential equations. For numerical analysis of the methods, three examples are considered. The results obtained are compared with their corresponding exact solutions. A link between successive terms of the solutions using the two methods is noted. The DTM is very effective and reliable in obtaining approximate solutions. The PIM requires the satisfaction of Lipschitz continuity condition; though, its results also converge rapidly to the exact solutions.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | S.O. Edeki |
| Date Deposited: | 07 Mar 2016 09:40 |
| Last Modified: | 07 Mar 2016 09:40 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/6378 |
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