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

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 tis...

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Published inNumerical heat transfer. Part A, Applications Vol. 75; no. 9; pp. 616 - 626
Main Author Fahmy, Mohamed Abdelsabour
Format Journal Article
LanguageEnglish
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
Online AccessGet full text
ISSN1040-7782
1521-0634
DOI10.1080/10407782.2019.1608770

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Abstract 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.
AbstractList 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.
Author Fahmy, Mohamed Abdelsabour
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  fullname: Fahmy, Mohamed Abdelsabour
  email: maselim@uqu.edu.sa, mohamed_fahmy@ci.suez.edu.eg
  organization: Basic Sciences Department, Faculty of Computers and Informatics, Suez Canal University, New Campus
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SubjectTerms Algorithms
Anisotropy
Automobile industry
Basis functions
Boundary element method
Collocation methods
Mathematical models
Order parameters
Phase lag
Radial basis function
Temperature distribution
Title A new LRBFCM-GBEM modeling algorithm for general solution of time fractional-order dual phase lag bioheat transfer problems in functionally graded tissues
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