Application of VIM, HPM and CM to the system of strongly nonlinear fin problem

M.R. Shirkhani, A. Hoshyar, D.D. Ganji

Abstract


The nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient is analytically studied. Collocation method (CM), Variation iteration method (VIM) and Homotopy perturbation method (HPM) are used to solve the present problem. Also, fourth order Runge–Kutta numerical method is applied as a numerical method for validation. Analytical results are presented through the graphs and the tables in various values of parameters. The results reveal that the CM is very effective, simple and more accurate than other techniques. Furthermore, we analyze the effects of some physical applicable parameters in this problem such as thermal conductivity parameter ( ), thermo-geometric fin parameter ( ) and heat transfer mode ( ).

Keywords


Collocation method (CM), Variational iteration method (VIM), Homotopy perturbation method (HPM), Heat transfer, Fin

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ISSN : 2180-3811       E-ISSN : 2289-814X

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