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

Figure 3

Temperature evolution, for (𝑥,𝑡)∈[10,20]×[0,10], for the DH model with Dirichlet boundary conditions and parameters 𝜏_𝑇=0, 𝜏_𝑞=1, 𝛼=0.8, and initial function 𝜑(𝑥,𝑡)=2(1−cos(𝑥))/(𝜋𝑥) (a), and differences from DH of DPL(1,1) and DPL(2,1) at 𝑥=10 (b).

(a)

(b)