Solving Some Linear & Nonlinear Differential-Difference Equations

Laplace decomposition method is based on Laplace transform method and Adomian decomposition method. In this paper we show that the method is applicable to certain successive interval valued linear as well as nonlinear differential-difference equations of order (1,1), that means the differential is of order one and the difference is of order one. It is also shown that the method gives exact solution for linear problems and suitable approximate solution for nonlinear problems. The example is selected to illustrate the applicability of the method.