An approximate analytic method for solving 1D dual-phase-lagging heat transport equations

In this study, we develop an approximate analytic method for solving 1D dual-phase-lagging heat conduction equations, which are derived based on the original dual-phase-lagging model without the first-order Taylor series approximation. The approximate analytic solution is obtained by employing the method of separation of variables. The coefficients of the series solution are then approximated by polynomials. The numerical method is illustrated with two simple examples.