Numerical solution of dual-phase-lagging heat conduction model for analyzing overshooting phenomenon

The overshooting phenomenon based on one dimensional dual-phase-lagging heat conduction model, has been studied by numerical technique. The effect of Fourier number and B=τT2τq on overshooting phenomenon have been observed. The stability of the numerical scheme has been discussed and observed that the solution is unconditionally stable. The whole analysis is presented in dimensionless form.