Laplace decomposition method for solving certain differential-difference equations both of order 1
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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.
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.
참고문헌 (10)
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