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Adel, Waleed, Yildirim, Ahmet. (1401). Studying the thermal analysis of rectangular cross section porous fin: A numerical approach. سامانه مدیریت نشریات علمی, 10(2), 338-350. doi: 10.22034/cmde.2021.37458.1669
Waleed Adel; Ahmet Yildirim. "Studying the thermal analysis of rectangular cross section porous fin: A numerical approach". سامانه مدیریت نشریات علمی, 10, 2, 1401, 338-350. doi: 10.22034/cmde.2021.37458.1669
Adel, Waleed, Yildirim, Ahmet. (1401). 'Studying the thermal analysis of rectangular cross section porous fin: A numerical approach', سامانه مدیریت نشریات علمی, 10(2), pp. 338-350. doi: 10.22034/cmde.2021.37458.1669
Adel, Waleed, Yildirim, Ahmet. Studying the thermal analysis of rectangular cross section porous fin: A numerical approach. سامانه مدیریت نشریات علمی, 1401; 10(2): 338-350. doi: 10.22034/cmde.2021.37458.1669

Studying the thermal analysis of rectangular cross section porous fin: A numerical approach

Computational Methods for Differential Equations
مقاله 5، دوره 10، شماره 2، تیر 2022، صفحه 338-350    اصل مقاله (320.83 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.37458.1669
نویسندگان
Waleed Adel* 1، 2؛ Ahmet Yildirim3
1Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt.
2Université Française d’Egypte, Ismailia Desert Road, El Shorouk, Cairo, Egypt.
3Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Bornova, Turkey.
چکیده
In this work, a direct computational method has been developed for solving the thermal analysis of porous fins with a rectangular cross-section with the aid of Chebyshev polynomials. The method transforms the nonlinear differential equation into a system of nonlinear algebraic equations and then solved using a novel technique. The solution of the system gives the unknown Chebyshev coefficients. An algorithm for solving this nonlinear system is presented. The results are obtained for different values of the variables and a comparison with other methods is made to demonstrate the effectiveness of the method. 
کلیدواژه‌ها
Numerical؛ Porous fin؛ Thermal analysis؛ Collocation method
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