Symbolic Algorithm to Solve Initial Value Problems for Partial Differential Equations (original) (raw)

In this paper, a new symbolic algorithm to find the Green's function of a given initial value problem for linear partial differential equations of second order with constant coefficients is discussed. Same algorithm also works for n-th order partial differential equations. We employ the integro-differential algebra to express the initial value problems and the Green's function. Some examples are presented to illustrate the proposed method compared with other existing method. Implementation of the proposed algorithm in Maple is discussed and sample computations are shown.