Abstract
In this study, the numerical solutions of the thermal damages of biological tissue by nonlinear dual-phase-lag theory under different boundary conditions are constructed for the medicinal treatment of tumors cell. The volumetric heat source component in nonlinear dual phase lag bio-heat transfer model such as the metabolic heat generation is considered an experimentally temperature-dependent function. Due to the nonlinearity of the governing relations, the finite element schemes are used to get the solutions of these problems. The numerical outcomes for temperature are given graphically. Furthermore, the comparison between the linear and nonlinear results displays the present nonlinear mathematical models effective tools to estimate the bio-heat transfer in the living tissue.