Laplace decomposition method for solving certain differential-difference equations both of order 1

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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Abstract

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
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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