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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
