Ananth Kumar, S. R. and Rangarajan, R. (2013) Laplace decomposition method for solving certain differential-difference equations both of order 1. Advanced Studies in Contemporary Mathematics (Kyungshang), 23 (3). pp. 501-508.
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In the present paper, exact or approximate solution of certain differentialdifference equations both of order 1 is presented using Laplace decomposition method. The method is motivated by Laplace decomposition methods for solving differential equations and Integro-differential equations available in the recent literature. The aim of this paper is to workout an efficient iterative procedure which produces exact or approximate solution for the present problem in a simple and elegant fashion. This method transforms a first order differential-difference equation with given initial condition into an algebraic equation suitable for applying inverse Laplace transformation resulting a series expression involving unit step functions, representing the solution. The method is implemented on two interesting illustrative examples.
| Item Type: | Article |
|---|---|
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Arshiya Kousar Library Assistant |
| Date Deposited: | 11 Sep 2019 05:11 |
| Last Modified: | 11 Sep 2019 05:11 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/7837 |
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