Modeling and Simulation of Bioheat Transfer in Slab, Cylinder and Spherical Skin Tissue

ABSTRACT The study of heat transfer across various skin tissue geometries is crucial in the treatment of tumors. A novel mathematical bioheat transfer model is developed by introducing the shape parameter of skin tissues: cylindrical, spherical, and slab. The whole model is transformed into a dimensionless form. The problem is discretized into a generalized Sylvester equation through the central finite difference approximation and Legendre Wavelet Galerkin method, and then solved by using the Bartels‐Stewart algorithm. In a specific case, an exact solution shows the nearer convergence with the current approach. The effects of different parameters, that is, thermal conductivity (), blood perfusion (), and relaxation times (), are presented in the form of figures. The findings show that spherical tissue retains the highest temperature, ideal for targeted hyperthermia. This model provides insights into thermal therapies, optimizing medical devices and treatment strategies.