A new LRBFCM-GBEM modeling algorithm for general solution of time fractional-order dual phase lag bioheat transfer problems in functionally graded tissues

• Published in: Numerical heat transfer. Part A, Applications Vol. 75; no. 9; pp. 616 - 626
• Main Author: Fahmy, Mohamed Abdelsabour
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 03.05.2019; Taylor & Francis Ltd
• Subjects: Algorithms; Anisotropy; Automobile industry; Basis functions; Boundary element method; Collocation methods; Mathematical models; Order parameters; Phase lag; Radial basis function; Temperature distribution
• ISSN: 1040-7782; 1521-0634
• DOI: 10.1080/10407782.2019.1608770

The main objective of this article is to propose a new hybrid modeling algorithm based on combining local radial basis function collocation method (LRBFCM) and general boundary element method (GBEM) for solving time fractional-order dual phase lag bioheat transfer problems in functionally graded tissues. The LRBFCM was developed and implemented using an implicit time-stepping technique and Caputo time fractional derivative for solving the fractional-order governing equation without dual phase lags. Due to suitability of the GBEM for modeling of bioheat transfer in functionally graded tissues. Therefore, GBEM is applied for solving the dual phase lags governing equation without fractional-order derivative. The numerical results are depicted graphical forms to show the effects of functionally graded parameter, fractional-order parameter and anisotropy on the nonlinear temperature distribution. Also, these numerical results demonstrate the validity and accuracy of the proposed algorithm and technique.