Solution of a physical problem in bioheat transfer via a meshless approach

The physical direct problem of determining the temperature distribution in a single-layer two-dimensional biological skin tissue is considered. This problem arises in hyperthermia applications where one aims to obtain knowledge of temperature distribution through a biological tissue that is subjected to instantaneous heating. Due to the finite speed of heat propagation, the appropriate mathematical model is described by a hyperbolic thermal-wave model of bio-heat transfer. Such a model is numerically solved using the time-marching method of fundamental solutions, as well as an alternating direction implicit scheme. The results obtained by the two numerical methods are discussed and compared, and excellent agreement is achieved.