Media type: E-Article Title: A second‐order finite difference scheme for solving the dual‐phase‐lagging equation in a double‐layered nanoscale thin film Contributor: Sun, Hong; Sun, Zhi‐zhong; Dai, Weizhong imprint: Wiley, 2017 Published in: Numerical Methods for Partial Differential Equations Language: English DOI: 10.1002/num.22078 ISSN: 0749-159X; 1098-2426 Origination: Footnote: Description: <jats:p>This article considers the dual‐phase‐lagging (DPL) heat conduction equation in a double‐layered nanoscale thin film with the temperature‐jump boundary condition (i.e., Robin's boundary condition) and proposes a new thermal lagging effect interfacial condition between layers. A second‐order accurate finite difference scheme for solving the heat conduction problem is then presented. In particular, at all inner grid points the scheme has the second‐order temporal and spatial truncation errors, while at the boundary points and at the interfacial point the scheme has the second‐order temporal truncation error and the first‐order spatial truncation error. The obtained scheme is proved to be unconditionally stable and convergent, where the convergence order in <jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/num22078-math-0001.png" xlink:title="urn:x-wiley:0749159X:media:num22078:num22078-math-0001" /> ‐norm is two in both space and time. A numerical example which has an exact solution is given to verify the accuracy of the scheme. The obtained scheme is finally applied to the thermal analysis for a gold layer on a chromium padding layer at nanoscale, which is irradiated by an ultrashort‐pulsed laser. © 2016 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 142–173, 2017</jats:p>