Giant pulse laser energe is absorbed uniformly by the shell of glass pellet filled with D-T gas. D-T gas is taken as the perfect gas here. la our analysis the glass shell is presumed to be devided into several layers. After absorbing the laser energy, the outermost layer explod and transfer the energy to the inner layers. The D-T sphere is heated and compressed owing to the kinetic energy of plasmas produced by the inner glass layers and the effect of thermal conductivity. The detailed analytical and computational results are in good agreement with those obtained by one dimensional two temperature Lagrange mathematical mode.