THE APPLICATION OF HOMOTOPY ANALYSIS METHOD TO NONLINEAR EQUATIONS ARISING IN HEAT TRANSFER
作者： S. Abbasbandy
DOI: 10.1016/J.PHYSLETA.2006.07.065
关键词: Nonlinear system 、 Applied mathematics 、 Homotopy perturbation method 、 Homotopy analysis method 、 Poincaré–Lindstedt method 、 Perturbation method 、 Physics 、 Perturbation (astronomy) 、 Heat transfer
摘要: … homotopy analysis method (HAM), which is a powerful and easy-to-use analytic tool for nonlinear … and numerical and homotopy perturbation method (HPM) in the heat transfer filed. The …
harvard.edu
unirioja.es
elsevier.com
sci-hub.se 
researchgate.net 参考文章(19)
George Adomian, Solving Frontier Problems of Physics: The Decomposition Method ,(1993)
A.M. Siddiqui, R. Mahmood, Q.K. Ghori, Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder Physics Letters A. ,vol. 352, pp. 404- 410 ,(2006) , 10.1016/J.PHYSLETA.2005.12.033
JI-HUAN HE, SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS International Journal of Modern Physics B. ,vol. 20, pp. 1141- 1199 ,(2006) , 10.1142/S0217979206033796
Shijun Liao, SA Sherif, Beyond Perturbation: Introduction to the Homotopy Analysis Method ,(2003)
Ji-Huan He, HOMOTOPY PERTURBATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS Physics Letters A. ,vol. 350, pp. 87- 88 ,(2006) , 10.1016/J.PHYSLETA.2005.10.005
H. Weitzner, Julian D. Cole, Perturbation Methods in Applied Mathematics Mathematics of Computation. ,vol. 23, pp. 688- ,(1969) , 10.2307/2004413
D.D. Ganji, The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer Physics Letters A. ,vol. 355, pp. 337- 341 ,(2006) , 10.1016/J.PHYSLETA.2006.02.056
Shijun Liao, A new branch of solutions of boundary-layer flows over an impermeable stretched plate International Journal of Heat and Mass Transfer. ,vol. 48, pp. 2529- 2539 ,(2005) , 10.1016/J.IJHEATMASSTRANSFER.2005.01.005
Tasawar Hayat, Masood Khan, HOMOTOPY SOLUTIONS FOR A GENERALIZED SECOND-GRADE FLUID PAST A POROUS PLATE Nonlinear Dynamics. ,vol. 42, pp. 395- 405 ,(2005) , 10.1007/S11071-005-7346-Z
T. Hayat, Masood Khan, M. Ayub, ON NON-LINEAR FLOWS WITH SLIP BOUNDARY CONDITION Zeitschrift für Angewandte Mathematik und Physik. ,vol. 56, pp. 1012- 1029 ,(2005) , 10.1007/S00033-005-4006-6