Analytical Solutions to Nonlinear Equations Arising in Heat Transfer by Variational Iteration, Homotopy Perturbation, and Adomian Decomposition Methods

作者：Ganji D D^*; Gorji M; Alipanah M; Farnad E

来源：Numerical Methods for Partial Differential Equations, 2010, 26(6): 1463-1475.

DOI：10.1002/num.20503

• Adomian decomposition method (ADM)
• cylindrical fin
• heat transfer
• homotopy perturbation method (HPM)
• variational iteration method (VIM)

As thermal conductivity plays an important role on fin efficiency, we tried to solve heat transfer equation with thermal conductivity as a function of temperature. In this research, some new analytical methods called homotopy perturbation method, variational iteration method, and Adomian decomposition method are introduced to be applied to solve the nonlinear heat transfer equations, and also the comparison of the applied methods (together) is shown graphically.

• 出版日期2010-11