A numerical study of a 3D bioheat transfer problem with different spatial heating

Samir Karaa, Jun Zhang*, Fuqian Yang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)


We develop numerical methods for the computer simulation and modeling of a three dimensional heat transfer problem in biological bodies. The technique is intended for the temperature predications and parameter measurements in thermal medical practices and for the studies of thermomechanical interaction of biological bodies at high temperature. We examine a mathematical model based on the classical well-known Pennes equation for heat transfer in biological bodies. A finite difference discretization scheme is used to discretize the governing partial differential equation. A preconditioned iterative solver is employed to solve the resulting sparse linear system at each time step. Numerical results are obtained to demonstrate the efficacy of the proposed numerical methods.

Original languageEnglish
Pages (from-to)375-388
Number of pages14
JournalMathematics and Computers in Simulation
Issue number4
Publication statusPublished - May 16 2005


  • Bioheat transfer
  • Hyperthermia
  • Pennes equation
  • Preconditioning

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation


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