Optimal Homotopy Asymptotic Solutions for Nonlinear Ordinary Differential Equations Arising in Flow and Heat Transfer due to Nonlinear Stretching Sheet

作者: Mahantesh M. Nandeppanavar , K. Vajravelu , P. S. Datti

DOI: 10.1002/HTJ.21149

关键词:

摘要: Optimal homotopy asymptotic method (OHAM) is used to obtain solutions for nonlinear ordinary differential equations (ODEs) arising in fluid flow and heat transfer at a stretching sheet. The skin friction temperature gradient some special cases are tabulated compared with the available numerical results literature. Moreover, OHAM found be very easy use technique could solving coupled systems of science engineering.

参考文章(22)
Abdoul R. Ghotbi, Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet Communications in Nonlinear Science and Numerical Simulation. ,vol. 14, pp. 2653- 2663 ,(2009) , 10.1016/J.CNSNS.2008.08.006
Vasile Marinca, Nicolae Herişanu, The Optimal Homotopy Asymptotic Method for solving Blasius equation Applied Mathematics and Computation. ,vol. 231, pp. 134- 139 ,(2014) , 10.1016/J.AMC.2013.12.121
S. Liao, Y. Tan, A General Approach to Obtain Series Solutions of Nonlinear Differential Equations Studies in Applied Mathematics. ,vol. 119, pp. 297- 354 ,(2007) , 10.1111/J.1467-9590.2007.00387.X
M.H. Yazdi, S. Abdullah, I. Hashim, K. Sopian, Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction International Journal of Heat and Mass Transfer. ,vol. 54, pp. 3214- 3225 ,(2011) , 10.1016/J.IJHEATMASSTRANSFER.2011.04.009
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
Rafael Cortell, Viscous flow and heat transfer over a nonlinearly stretching sheet Applied Mathematics and Computation. ,vol. 184, pp. 864- 873 ,(2007) , 10.1016/J.AMC.2006.06.077
M. Sajid, T. Hayat, Comparison of HAM and HPM methods in nonlinear heat conduction and convection equations Nonlinear Analysis: Real World Applications. ,vol. 9, pp. 2296- 2301 ,(2008) , 10.1016/J.NONRWA.2007.08.007
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
Robert A. Van Gorder, K. Vajravelu, Analytic and numerical solutions to the Lane–Emden equation Physics Letters A. ,vol. 372, pp. 6060- 6065 ,(2008) , 10.1016/J.PHYSLETA.2008.08.002
T. Javed, Z. Abbas, M. Sajid, N. Ali, Heat transfer analysis for a hydromagnetic viscous fluid over a non-linear shrinking sheet International Journal of Heat and Mass Transfer. ,vol. 54, pp. 2034- 2042 ,(2011) , 10.1016/J.IJHEATMASSTRANSFER.2010.12.025