Nonlinear higher-order transient solver for magnetic fluid hyperthermia

• Autores: Bartosz Sawicki, Arkadiusz Miaskowski
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 270, Nº 1, 2014, págs. 143-151
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.02.008
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• Resumen

  • 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.