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ITERATIVE METHOD FOR CONSTRUCTING ANALYTICAL SOLUTIONS TO THE HARRY-DYM INITIAL VALUE PROBLEM

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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