HAM SOLUTION OF SOME INITIAL VALUE PROBLEMS ARISING IN HEAT RADIATION EQUATIONS

作者: Jafar Biazar , Behzad Ghanbari

DOI: 10.1016/J.JKSUS.2010.08.011

关键词:

摘要: Abstract Mathematical modeling of many phenomena, especially in heat transfer, usually leads to a nonlinear equation. Traditional approaches for solving such equations are time consuming and difficult affairs tasks. In this paper, based on the homotopy analysis method (HAM), series solution problem unsteady convective–radiative equation is obtained. HAM, one would be able control convergence approximation adjust its region, conveniently. Ability efficiency proposed approach tested via some cases above mentioned problem. It found that provides greatly accelerated

参考文章(13)
S. Abbasbandy, Homotopy analysis method for heat radiation equations International Communications in Heat and Mass Transfer. ,vol. 34, pp. 380- 387 ,(2007) , 10.1016/J.ICHEATMASSTRANSFER.2006.12.001
Zhao Niu, Chun Wang, A one-step optimal homotopy analysis method for nonlinear differential equations Communications in Nonlinear Science and Numerical Simulation. ,vol. 15, pp. 2026- 2036 ,(2010) , 10.1016/J.CNSNS.2009.08.014
D.D. Ganji, M.J. Hosseini, J. Shayegh, Some nonlinear heat transfer equations solved by three approximate methods International Communications in Heat and Mass Transfer. ,vol. 34, pp. 1003- 1016 ,(2007) , 10.1016/J.ICHEATMASSTRANSFER.2007.05.010
M. Sajid, T. Hayat, Comparison of HAM and HPM solutions in heat radiation equations International Communications in Heat and Mass Transfer. ,vol. 36, pp. 59- 62 ,(2009) , 10.1016/J.ICHEATMASSTRANSFER.2008.08.010
Ahmer Mehmood, Sufian Munawar, Asif Ali, Comments to: “Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet (Commun. Nonlinear Sci. Numer. Simul. 14 (2009) 2653-2663)” Communications in Nonlinear Science and Numerical Simulation. ,vol. 15, pp. 4233- 4240 ,(2010) , 10.1016/J.CNSNS.2009.12.039
Vasile Marinca, Nicolae Herişanu, Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer International Communications in Heat and Mass Transfer. ,vol. 35, pp. 710- 715 ,(2008) , 10.1016/J.ICHEATMASSTRANSFER.2008.02.010
G. Domairry, N. Nadim, Assessment of homotopy analysis method and homotopy perturbation method in non-linear heat transfer equation International Communications in Heat and Mass Transfer. ,vol. 35, pp. 93- 102 ,(2008) , 10.1016/J.ICHEATMASSTRANSFER.2007.06.007