AN SEMI-EXACT ANALYTIC SOLUTION OF A CONVECTIVE POROUS FIN WITH VARIABLE CROSS SECTION BY COLLOCATION METHOD AND COMPARISON WITH HPM AND VIM

Published 30 April 2021 •  vol 147  • 


Authors:

 

A. Rahimifar, Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
D. D. Ganji, Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
J. Rahimi, Faculty of Electrical and Computer Engineering, Babol University of Technology, Babol, Iran
I. Rahimi Petroudi, Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran
S. Sadeghi, Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran
M. Shahbabaei, Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran

Abstract:

 

In the present study, the problem of nonlinear equations arising in a convective porous fin with variable cross section has been investigated using a Collocation Method (CM). The obtained results from this method are compared with HPM, VIM and those from the numerical solution namely Boundary Value Problem method (BVP) to verify the accuracy of the proposed method. It is found that the CM can achieve suitable results in predicting the solution of such problems.

Keywords:

 

Porous Fin, Variable Cross Section, Collocation Method, Homotopy Perturbation Method, Variation Iteration Method

References:

 

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Citations:

 

APA:
Rahimifar, A., Ganji, D. D., Rahimi, J., Rahimi Petroudi, I., Sadeghi, S., & Shahbabaei, M. (2021). An Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Collocation Method and Comparison with HPM and VIM. International Journal of Advanced Science and Technology (IJAST), ISSN: 2005-4238(Print); 2207-6360 (Online), NADIA, 147, 47-56. doi: 10.33832/ijast.2021.147.05.

MLA:
Rahimifar, A., et al, “An Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Collocation Method and Comparison with HPM and VIM.” International Journal of Advanced Science and Technology, ISSN: 2005-4238(Print); 2207-6360 (Online), NADIA, vol. 147, 2021, pp. 47-56. IJAST, http://article.nadiapub.com/IJAST/Vol147/5.html.

IEEE:
[1] A. Rahimifar, D. D. Ganji, J. Rahimi, I. Rahimi Petroudi, S. Sadeghi, and M. Shahbabaei, " An Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Collocation Method and Comparison with HPM and VIM." International Journal of Advanced Science and Technology (IJAST), ISSN: 2005-4238(Print); 2207-6360 (Online), NADIA, vol. 147, pp. 47-56, April 2021.