Resumen de Nonlinear higher-order transient solver for magnetic fluid hyperthermia

Bartosz Sawicki, Arkadiusz Miaskowski

• The article is devoted to numerical methods for transient solution of Pennes� bioheat equation as required for Magnetic Fluid Hyperthermia (MFH) modeling. Special attention has been paid to the role of non-linearity of blood perfusion and its influence on temperature distribution. The authors show that the higher-order time integration algorithms are highly advised for this type of problem, which should be classified as a stiff one. Popular low-order solvers give very different solutions. Furthermore, the application of adaptive time stepping scheme reduces calculation time and raises the efficiency of the simulation software.