Al-Tememe transformation for solving some types of PDEs with using initial and boundary conditions

Abstract

The aim of this paper is to use the Al-Tememe transformation for solving some PDEs which have the general form

               At²u_tt + Btu_t + Ch₁(x)u_xx + Eh₂(x)u_x + Gh₃(x)tu_tx + Pu = f (x; t) 

  Where A,B,C,E,G and P are constants and f(x; t) is a function of x and t.