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APPLICABILITY OF LAPLACE DECOMPOSITION METHOD FOR SOLVING CERTAIN DIFFERENTIAL-DIFFERENCE EQUATION OF ORDER (1, 2)

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, 2), that means the differential is of order one and the difference is of order two. It is also shown that the method gives exact solution for linear problems and suitable approximate solution for nonlinear problems. Three problems are selected to illustrate the applicability of the method.