2248	 A New Method for the Solution of the Cauchy Problem for Parabolic Equations	 An integral equation representation is given for parabolic partial differential equations. When the equations are defined in unbounded domains as in the initial value Cauchy problem the solution of the integral equation by the method of successive approximation has inherent advantages over other methods. Error bounds for the methods are of order h and h his the increment size depending on the finite difference approximations involved. parabolic equations the Cauchy problem method of successive approximations
