Table 3 Non-dimensional temperature distributions at various locations (\(x\)) and two instants of time \((t = 0.05, t = 0.10).\)

From: A fully coupled system of generalized thermoelastic theory for semiconductor medium

Non-dimensional temperature distributions

\(x\)

\(t=0.05\)

\(t=0.10\)

Model (I)

Model (II)

Model (III)

Model (I)

Model (II)

Model (III)

\(0.0\)

\(1.000\)

\(1.000\)

\(1.000\)

\(1.000\)

\(1.000\)

\(1.000\)

\(0.1\)

\(0.77867\)

\(0.750107\)

\(0.750097\)

\(0.940311\)

\(0.939975\)

\(0.939958\)

\(0.2\)

\(0.567274\)

\(0.524103\)

\(0.524101\)

\(0.885437\)

\(0.884807\)

\(0.884775\)

\(0.3\)

\(0.374546\)

\(0.339385\)

\(0.339386\)

\(0.831094\)

\(0.830195\)

\(0.830148\)

\(0.4\)

\(0.000159\)

\(0.205373\)

\(0.205374\)

\(0.776725\)

\(0.775587\)

\(0.775526\)

\(0.5\)

\(7.4\times {10}^{-5}\)

\(0.112976\)

\(0.112977\)

\(0.724184\)

\(0.722858\)

\(0.722782\)

\(0.6\)

\(7.7 \times 10^{ - 6}\)

\(0.056973\)

\(0.056974\)

\(0.667809\)

\(0.666336\)

\(0.666246\)

\(0.7\)

\(1.4 \times 10^{ - 6}\)

\(0.026815\)

\(0.026815\)

\(0.61809\)

\(0.61655\)

\(0.616448\)

\(0.8\)

\(1.3 \times 10^{ - 6}\)

\(0.011321\)

\(0.011321\)

\(0.56997\)

\(0.568406\)

\(0.568292\)

\(0.9\)

\(1.2 \times 10^{ - 6}\)

\(0.004362\)

\(0.004362\)

\(0.523561\)

\(0.522047\)

\(0.521921\)

\(1.0\)

\(9.1 \times 10^{ - 7}\)

\(0.001482\)

\(0.001482\)

\(0.479159\)

\(0.477819\)

\(0.477698\)