TITLE:
Green’s Function Solution for the Dual-Phase-Lag Heat Equation
AUTHORS:
Reem Alkhairy
KEYWORDS:
Dual-Phase-Lag Heat Conduction; Green’s Function; Integral Transforms
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.10,
October
12,
2012
ABSTRACT: The present work is devoted to define a generalized Green’s function solution for the dual-phase-lag model in homogeneous materials in a unified manner .The high-order mixed derivative with respect to space and time which reflect the lagging behavior is treated in special manner in the dual-phase-lag heat equation in order to construct a general solution applicable to wide range of dual-phase-lag heat transfer problems of general initial-boundary conditions using Green’s function solution method. Also, the Green’s function for a finite medium subjected to arbitrary heat source and arbitrary initial and boundary conditions is constructed. Finally, four examples of different physical situations are analyzed in order to illustrate the accuracy and potentialities of the proposed unified method. The obtained results show good agreement with works of [1-4].