Second-order two-scale analysis and numerical algorithms for the hyperbolic–parabolic equations with rapidly oscillating coefficients

Dong Hao^a), Nie Yu-Feng†^a), Cui Jun-Zhi^b), Wu Ya-Tao^a)

(a) u ⁽⁰⁾, (b) u ^{(1 ε )}, (c) u ^{(2 ε )}, and (d) u^ε of case 2 at t = 0.8.