A hybrid transform technique for the hyperbolic heat conduction problems

In this present study, we propose a hybrid transform technique to investigate the hyperbolic heat conduction problem. The Laplace transform is used to remove the time-dependent terms from the governing equation and the s-domain dimensionless temperature function is obtained by the integral transform scheme. Finally, the analytical solution of this problem can be determined by taking the inverse integral transform and inverse the Laplace transform. In this paper, six different examples have been solved by the present technique. It is shown that the analytical solutions of six hyperbolic heat conduction problems can be obtained by this technique.