Publication

Abstract : This paper presents a symbolic method for solving an initial value problem (IVP) for the system of higher-order linear differential equations (HLDEs) with constant coefficients. In the proposed symbolic method, we apply the algebra of integrodifferential operators for computing the Green’s operator and Green’s function of a fully-inhomogeneous IVP on the level of operators. Th algorithm of the proposed method will help to implement the manual calculations in commercial packages such as Mathematica, Matlab, Singular, Scilab etc. Maple implementation of the proposed method is discussed and provided sample computations. Certain examples are presented to illustrate the proposed method.