Transient response analysis of one-dimensional distributed parameter systems

A semi!analytic method is presented for the analysis of transient response of one!dimensional distributed parameter systems[ Replacing time di}erentials by _nite di}erence\ the governing partial di}erential equa! tions are reduced to di}erence di}erential equations[ The solutions of derived ordinary di}erential equations are given in exact and closed form by distributed transfer function method[ Complex systems that contain many one!dimensional sub!systems are also studied[ Numerical results show that the e.ciency and accuracy of the method are excellen