A meshless radial basis function based method for modeling dual-phase-lag heat transfer in irregular domains

Abstract In this paper we present a new numerical technique for the dual-phase-lag model appearing in the heating tissue. The problems are described as general linear partial differential equations with mixed temporal and spatial derivatives defined in irregular 2D domains. We consider heat transfer problems in the inhomogeneous medium, i.e., the coefficients of the governing partial differential equations depend on the spatial coordinates. To solve the problem, we use the combination of the time-stepping method for temporal variables with the meshless semi-analytical technique for the spatial approximation. The effectiveness of the proposed scheme is demonstrated by solving dual-phase-lag heat conduction problems including the generalized bio-heat problem in single and multi-connected irregular domains.