Homotopy analysis method: Difference between revisions

Revision as of 02:09, 20 May 2009

Revision as of 11:11, 20 May 2009

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*{{citation | last=Liao | first=S.J. | title=Beyond Perturbation: Introduction to the Homotopy Analysis Method | publisher=Chapman & Hall/ CRC Press | ___location=Boca Raton | year=2003 }}

*{{citation | last=Liao | first=S.J. | title=An explicit, totally analytic approximation of Blasius’ viscous flow problems | journal=International Journal of Non-Linear Mechanics | volume=34 | issue=4 | pages=759–778 | year=1999 }}

*{{citation | last=Liao | first=S.J. | title=On the homotopy analysis method for nonlinear problems [| url=http://numericaltank.sjtu.edu.cn/paper/AMC-HAM-2004.pdf] | journal=Applied Mathematics and Computation | volume=147 | issue=2 | pages=499–513 | year=2004 }}

*{{citation | last1=Liao | first1=S.J. | last2=Tan | first2=Y. | title=A general approach to obtain series solutions of nonlinear differential equations [| url=http://numericaltank.sjtu.edu.cn/paper/SAM-2007-Vol%20119%20pp%20297-355.pdf][http://numericaltank.sjtu.edu.cn/code/Gelfand2D.nb] | journal=Studies in Applied Mathematics | volume=119 | pages=297–254 | year=2007 }}; see also this [[Mathematica]] [http://numericaltank.sjtu.edu.cn/code/Gelfand2D.nb notebook file]

*{{citation | last=Liao | first=S.J. | title=Notes on the homotopy analysis method: some definitions and theorems [|url=http://numericaltank.sjtu.edu.cn/paper/LIAO-CNSNS-2009%20Notes%20on%20HAM.pdf] | journal=Communications in Nonlinear Science and Numerical Simulation | volume=14 | pages=983–997 | year=2009 }}

[[Category:Asymptotic analysis]]