New Technique to Solve Nonlinear Differential-Difference Systems
نویسندگان
چکیده
Expfunction method has been applied to solve many functional equations so far. But it hasn't been used for systems of differential-difference directly. In this paper, modified Exp-function method is introduced to obtain exact solutions of the nonlinear differential-difference systems for the first time. Furthermore, new exact solutions have been obtained for the well known Toda-Lattice system by applying this method. It has been shown that the Exp-function method, with the help of symbolic computation, provides a very effective and powerful mathematical tool for solving differential-difference systems.
منابع مشابه
A New Technique of Reduce Differential Transform Method to Solve Local Fractional PDEs in Mathematical Physics
In this manuscript, we investigate solutions of the partial differential equations (PDEs) arising inmathematical physics with local fractional derivative operators (LFDOs). To get approximate solutionsof these equations, we utilize the reduce differential transform method (RDTM) which is basedupon the LFDOs. Illustrative examples are given to show the accuracy and reliable results. Theobtained ...
متن کاملA New Modification of the Reconstruction of Variational Iteration Method for Solving Multi-order Fractional Differential Equations
Fractional calculus has been used to model the physical and engineering processes that have found to be best described by fractional differential equations. For that reason, we need a reliable and efficient technique for the solution of fractional differential equations. The aim of this paper is to present an analytical approximation solution for linear and nonlinear multi-order fractional diff...
متن کاملDifferential transform method for a a nonlinear system of differential equations arising in HIV infection of CD4+T cell
In this paper, differential transform method (DTM) is described and is applied to solve systems of nonlinear ordinary differential equations which is arising in HIV infections of cell. Intervals of validity of the solution will be extended by using Pade approximation. The results also will be compared with those results obtained by Runge-Kutta method. The technique is described and is illustrat...
متن کاملNonlinear Cable equation, Fractional differential equation, Radial point interpolation method, Meshless local Petrov – Galerkin, Stability analysis
The cable equation is one the most fundamental mathematical models in the neuroscience, which describes the electro-diffusion of ions in denderits. New findings indicate that the standard cable equation is inadequate for describing the process of electro-diffusion of ions. So, recently, the cable model has been modified based on the theory of fractional calculus. In this paper, the two dimensio...
متن کاملHybrid differential transform-finite difference solution of 2D transient nonlinear annular fin equation
In the present paper, hybrid differential transform and finite difference method (HDTFD) is applied to solve 2D transient nonlinear straight annular fin equation. For the case of linear heat transfer the results are verified with analytical solution. The effect of different parameters on fin temperature distribution is investigated. Effect of time interval of differential transform on the stabi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013