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

Figure 4

Temperature evolution for DPL, DH, and classical diffusion (Diff) models (left), and differences from DH of DPL approximations (right), at 𝑥=10, with Dirichlet boundary conditions, initial function 𝜑(𝑥,𝑡)=2(1−cos(𝑥))/(𝜋𝑥), and parameters 𝛼=0.8, 𝜏_𝑇=1, and 𝜏_𝑞=1 (top), or 𝜏_𝑇=19 and 𝜏_𝑞=20 (down).

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