Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium

Figure 1

Temperature evolution, at 𝑥=10, for DPL, DH, and classical diffusion (Diff) models with Dirichlet boundary conditions and parameters 𝜏_𝑇=0, 𝜏_𝑞=1, and initial function 𝜑(𝑥,𝑡)=2(1−cos(𝑥))/(𝜋𝑥), for 𝛼=0.1 (a) and 𝛼=0.8 (b).

(a)

(b)