Document Type : Research Paper
Department of Mathematics and Engineering Physics, Faculty of Engineering, Mansoura University, Egypt.
Université Française d’Egypte, Ismailia Desert Road, El Shorouk, Cairo, Egypt.
Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Bornova, Turkey.
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.