The variation of the displacement \(u\) in the context of five models of thermoelasticity is obtained in Table 2. It was found that the values of the parameters \(\alpha\) and \(\beta\) play a significant role in changing the displacement value. As visible from Table 2, the displacement reaches minimum value (\(u=0\)) on the boundary at\(x=0\), which agree with the boundary conditions. Finally, the results of the above table are schemed in Fig2.