Gonzalez-Gaxiola, O. and de Chávez , J. R. and Edeki, S.O. (2018) ITERATIVE METHOD FOR CONSTRUCTING ANALYTICAL SOLUTIONS TO THE HARRY-DYM INITIAL VALUE PROBLEM. International Journal of Applied Mathematics, 31 (4). pp. 627-640.
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Abstract
In this paper, an analytical technique, namely the new iterative method (NIM), is applied to obtain an approximate analytical solution of the nonlinear Harry-Dym equation which is often used in the theory of solitons. The rapid convergence of the method results in qualitatively accurate solutions in relatively few iterations; this is obvious upon comparing the obtained analytical solutions with the exact solutions. Our results indicate that NIM is highly accurate and efficient, therefore can be considered a very useful and valuable method.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | UNSPECIFIED |
| Depositing User: | S.O. Edeki |
| Date Deposited: | 16 Sep 2018 17:05 |
| Last Modified: | 16 Sep 2018 17:05 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/11629 |
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