Journal of Computations & Modelling

A high-order compact nite volume element method for the dual-phase lag (DPL) heat conduction equations with the interface

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•                                                 Abstract

  In this paper, a high-order compact finite volume element method is presented for one-dimensional dual-phase lag equations with the interface. The resulting coefficient matrix is five-diagonal. This high-order method is helpful to analyze and study nano heat conduction with this equation in relative coarse grid. We apply the discrete energy method to give the error estimate in the L² norm with the convergence order O(Δt² + h^3.5). Finally, numerical examples are provided to show the effectiveness and feasibility of this method.