کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
838519 908361 2008 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations
چکیده انگلیسی

Recently, Rajabi et al. (Application of homotopy perturbation method in nonlinear heat conduction and convection equations, Phys. Lett. A 360 (2007) 570–573.) discussed the solutions of temperature distribution in lumped system of combined convection–radiation. They solved a nonlinear equation of the steady conduction in a slab with variable thermal conductivity using both perturbation and homotopy perturbation methods. They claim that homotopy perturbation method (HPM) does not require any small parameter. However, this statement is not true always. Moreover, HPM have no criteria for establishing the convergence of the series solution. In this letter we have explicitly shown that the results of the problem considered in example 2 of (Rajabi, Ganji, Therian, Application of homotopy perturbation method in nonlinear heat conduction and convection equations, Phys. Lett. A 360 (2007) 570–573.) are valid only for 0⩽ε⩽10⩽ε⩽1. We have used the homotopy analysis method for finding the more meaningful solution.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 9, Issue 5, December 2008, Pages 2296–2301
نویسندگان
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