Differential Transform Method for Solving Differential Equations

Abstract

A technique for calculating one, two, and three dimensional transform method (D T M) introduced. The differential transform method is applied to solve the general Lotka –volterra model, and is also applied to Fred holm Integro Differential system. Moreover if is applied to volterra integral system. The D T M is modifid to a novel computational algorithm for solving linear and non linear intial value problems called the projected differential transform method (P D T M). The results obtained by the PDTM compared with those obtained by DTM were found to be compatible. Beside the differential equations of integer order the D T M is extended to derive on approximate anlytical solution of fractional oscillator.