文章基本信息

标题：A high-order compact nite volume element method for the dual-phase lag (DPL) heat conduction equations with the interface
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作者：Ling Zhu ; Qian Zhang ; Hong Sun 等
期刊名称：Journal of Computations & Modelling
印刷版ISSN：1792-7625
电子版ISSN：1792-8850
出版年度：2015
卷号：5
期号：3
出版社：Scienpress Ltd
摘要：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 ( Δ t² + h^3.5 ). Finally, numerical examples are provided to show the effectiveness and feasibility of this method.