Simulation of hyperbolic type bio-heat transfer problems by differential transformation method

Steven Hsin-Yi Lai, Jui Hsun Ni, Cheng Chi Chang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the present research, the hybrid method which combines differential transformation and finite difference approximation techniques is utilized to solve hyperbolic type heat transfer problems in two-dimension. In order to comply with the real thermal behavior in a living tissue subjected to constant or exponential surface heating with the thermal wave model of bio-heat transfer, the relaxation time and the heat wave which propagates in the direction being perpendicular to the skin surface has been considered. The results show that this method not only can specifically describe the physical phenomena but demonstrate its powerful ability in simulation.

Original languageEnglish
Title of host publicationECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages8448-8460
Number of pages13
Publication statusPublished - 2012 Dec 1
Event6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 - Vienna, Austria
Duration: 2012 Sep 102012 Sep 14

Publication series

NameECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

Other

Other6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
CountryAustria
CityVienna
Period12-09-1012-09-14

Fingerprint

Differential Transformation Method
Heat Transfer
Heat transfer
Finite Difference Approximation
Hybrid Method
Relaxation Time
Perpendicular
Skin
Heating
Two Dimensions
Simulation
Heat
Relaxation time
Tissue
Demonstrate
Hot Temperature
Model

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Applied Mathematics

Cite this

Lai, S. H-Y., Ni, J. H., & Chang, C. C. (2012). Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers (pp. 8448-8460). (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).
Lai, Steven Hsin-Yi ; Ni, Jui Hsun ; Chang, Cheng Chi. / Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. pp. 8448-8460 (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).
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Lai, SH-Y, Ni, JH & Chang, CC 2012, Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. in ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers, pp. 8448-8460, 6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012, Vienna, Austria, 12-09-10.

Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. / Lai, Steven Hsin-Yi; Ni, Jui Hsun; Chang, Cheng Chi.

ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 8448-8460 (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Lai SH-Y, Ni JH, Chang CC. Simulation of hyperbolic type bio-heat transfer problems by differential transformation method. In ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers. 2012. p. 8448-8460. (ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers).