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Analytical and Numerical Study to Nonlinear Heat Transfer Equation in Strait Fin

Akbari N, Ganji DD, Gholinia M and Gholinia S

Akbari-Ganji’s Method (AGM) to study an unsteady nonlinear convective-radiative equation and a nonlinear convective-radiative-conduction equation containing two small parameters of ε1 and ε2 and evaluate the efficiency of straight fins. The concept of Akbari-Ganji’s Method is briefly introduced and employed to derive solution of nonlinear equation. The obtained results from AGM are compared with those of obtained from Homotopy Perturbation Method (HPM), the fourth-order Runge-Kutta Numerical Method (NUM) and FlexPDE software to verify the accuracy of the proposed method. Results show by increasing N efficiency decline. In contrast to, with increasing of ε1, ε2 the value of efficiency increases. In addition to, this study shows that AGM is powerful method to solve nonlinear differential equations, such as the problem raised in this research.