Non-Fourier heat conduction model with dual phase lag wave-diffusion model was analyzed by using well-conditioned asymptotic wave evaluation (WCAWE) and finite element method (FEM). The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique were used successfully to predict the accurate and stable temperature responses without t...

Different non-Fourier models of heat conduction have recently been considered in the modeling of microscale heat transfer in engineering and biomedical heat transfer problems. The dual-phase-lagging model, incorporating time lags in the heat flux and the temperature gradient, and some of its particular cases and approximations, result in heat conduction modeling equations in the form of retarde...

Non-Fourier models of heat conduction have been increasingly considered in the last years in the modeling of microscale heat transfer in engineering and biomedical problems. Models that incorporate time lags in the heat flux and/or the temperature gradient result in heat conduction modeling equations in the form of partial differential equations with delay, while some approximations may yield p...

Abstract The thermal modeling of biological systems is increasingly important in the development more advanced and precise techniques such as ultrasound surgery. One primary barriers complexity materials: geometrical, structural, material properties vary a wide range. In present paper, we focus on continuum heterogeneous materials origin. There are numerous examples literature for non-Fourier m...