Approximate Solution of Sub diffusion Bio heat Transfer Equation
In this paper, author’s study sub diffusion bio heat transfer model and developed explicit finite difference scheme for time fractional sub diffusion bio heat transfer equation by using caputo fabrizio fractional derivative. Also discussed conditional stability and convergence of developed scheme....
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2023-03-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8410 |
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| author | Jagdish Sonawane Bahusaheb Sontakke Kalyanrao Takale |
| author_facet | Jagdish Sonawane Bahusaheb Sontakke Kalyanrao Takale |
| author_sort | Jagdish Sonawane |
| collection | DOAJ |
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In this paper, author’s study sub diffusion bio heat transfer model and developed explicit finite difference scheme for time fractional sub diffusion bio heat transfer equation by using caputo fabrizio fractional derivative. Also discussed conditional stability and convergence of developed scheme. Furthermore numerical solution of time fractional sub diffusion bio heat transfer equation is obtained and it is represented graphically by Python.
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| format | Article |
| id | doaj-art-1c1ccb6e1ccd437c9b2fd7941eade7c2 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-1c1ccb6e1ccd437c9b2fd7941eade7c22025-08-20T03:34:05ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862023-03-01201(SI)10.21123/bsj.2023.8410Approximate Solution of Sub diffusion Bio heat Transfer EquationJagdish Sonawane 0Bahusaheb Sontakke1Kalyanrao Takale2Department of Mathematics, GES R.H. SAPAT College of Engineering, Management Studies and Research, Nashik-5 (M.S.), India.Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad, (M.S.), India.Department of Mathematics, RNC Arts, JDB Commerce and NSC Science College, Nashik-Road, Nashik, India. In this paper, author’s study sub diffusion bio heat transfer model and developed explicit finite difference scheme for time fractional sub diffusion bio heat transfer equation by using caputo fabrizio fractional derivative. Also discussed conditional stability and convergence of developed scheme. Furthermore numerical solution of time fractional sub diffusion bio heat transfer equation is obtained and it is represented graphically by Python. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8410Bio heat equation, Caputo –Fabrizio fractional derivatives, Fractional Differential Equation, Python, Sub diffusion, Finite difference Method |
| spellingShingle | Jagdish Sonawane Bahusaheb Sontakke Kalyanrao Takale Approximate Solution of Sub diffusion Bio heat Transfer Equation مجلة بغداد للعلوم Bio heat equation, Caputo –Fabrizio fractional derivatives, Fractional Differential Equation, Python, Sub diffusion, Finite difference Method |
| title | Approximate Solution of Sub diffusion Bio heat Transfer Equation |
| title_full | Approximate Solution of Sub diffusion Bio heat Transfer Equation |
| title_fullStr | Approximate Solution of Sub diffusion Bio heat Transfer Equation |
| title_full_unstemmed | Approximate Solution of Sub diffusion Bio heat Transfer Equation |
| title_short | Approximate Solution of Sub diffusion Bio heat Transfer Equation |
| title_sort | approximate solution of sub diffusion bio heat transfer equation |
| topic | Bio heat equation, Caputo –Fabrizio fractional derivatives, Fractional Differential Equation, Python, Sub diffusion, Finite difference Method |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8410 |
| work_keys_str_mv | AT jagdishsonawane approximatesolutionofsubdiffusionbioheattransferequation AT bahusahebsontakke approximatesolutionofsubdiffusionbioheattransferequation AT kalyanraotakale approximatesolutionofsubdiffusionbioheattransferequation |