Application of homotopy and homotopy perturbation methods to differential equations of heat transfer and shear deformation of beams

Manshadi, M. D ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. Publisher: 2011
  3. Abstract:
  4. In this paper, different physical differential equations related to heat transfer and shear deformation of beams are solved by new but powerful analytical methods: Liao's Homotopy method (H.M), Homotopy method with Pade approximation and the He's Homotopy-Perturbation Method (HPM). Nonlinear convective-radiative cooling equation, nonlinear heat equation with cubic nonlinearity and the shear deformation of sandwich beams are used as examples to illustrate the solution procedures. Comparison of the applied methods with exact solutions reveals that both methods are greatly effective
  5. Keywords:
  6. Heat transfer ; Homotopy ; Homotopy-perturbation ; Shear deformation of beam
  7. Source: Applied Mathematical Sciences ; Volume 5, Issue 21-24 , Apr , 2011 , Pages 1051-1063 ; 1312885X (ISSN)
  8. URL: http://profdoc.um.ac.ir/paper-abstract-1023134.html