scholarly journals A new boundary element algorithm for a general solution of nonlinear space-time fractional dual-phase-lag bio-heat transfer problems during electromagnetic radiation

2021 ◽  
Vol 25 ◽  
pp. 100918
Author(s):  
Mohamed Abdelsabour Fahmy
Keyword(s):  
Heat Transfer ◽  
General Solution ◽  
Electromagnetic Radiation ◽  
Boundary Element ◽  
Space Time ◽  
Phase Lag ◽  
Dual Phase ◽  
Transfer Problems ◽  
Element Algorithm

Boundary Element Algorithm for Modeling and Simulation of Dual-Phase Lag Bioheat Transfer and Biomechanics of Anisotropic Soft Tissues

2018 ◽  
Vol 10 (10) ◽  
pp. 1850108 ◽  
Author(s):  
Mohamed Abdelsabour Fahmy
Keyword(s):  
Boundary Element ◽  
Soft Tissues ◽  
Bioheat Transfer ◽  
Phase Lag ◽  
Dual Phase ◽  
Lu Factorization ◽  
Governing Equations ◽  
Complex Shapes ◽  
Incomplete Lu Factorization ◽  
Element Algorithm

The main aim of this paper is to propose a new boundary element algorithm for describing thermomechanical interactions in anisotropic soft tissues. The governing equations are studied based on the dual-phase lag bioheat transfer and Biot’s theory. Due to the advantages of convolution quadrature boundary element method (CQBEM), such as low CPU usage, low memory usage and suitability for treatment of soft tissues that have complex shapes, it is a versatile and powerful method for modeling of bioheat distribution in anisotropic soft tissues and the related deformation. The resulting linear systems for bioheat and mechanical equations are solved by Transpose-free quasi-minimal residual (TFQMR) solver with a dual-threshold incomplete LU factorization technique (ILUT) preconditioner that reduces the iterations number and total CPU time. Numerical results demonstrate the validity, efficiency and accuracy of the proposed algorithm and technique.

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