http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
A New Combined Homotopy-Laplace Decomposition Method for Solving DDEs of Order (1, 2)
Ananth Kumar S. R.,R. Rangarajan 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.1
In the recent literature, nonlinear problems are solved by two powerful decomposition methods, namely, Laplace decomposition method and Homotopy analysis methods. In the present paper a new method is proposed motivated by the above two methods to solve both nonlinear differential-difference equations and integro-differential-difference equations of order (1, 2).
Laplace decomposition method for solving certain differential-difference equations both of order 1
Ananth Kumar S. R,R. Rangarajan 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.3
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.