Homotopy analysis method: Difference between revisions

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*{{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 | journal=Studies in Applied Mathematics | volume=119 | pages=297–354 | year=2007 | doi=10.1111/j.1467-9590.2007.00387.x | issue=4 }}; 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 | doi=10.1016/j.cnsns.2008.04.013 |bibcode = 2009CNSNS..14..983L | issue=4 }}
*{{citation | last1=Xu | first1=H. | last2=Lin | first2=Z.L.| last3=Liao | first3=S.J.|last4=Wu | first4=J.Z.| last5=Majdalani | first5=J.|title=Homotopy-based solutions of the Navier–Stokes equations for a porous channel with orthogonally moving walls| url=http://numericaltank.sjtu.edu.cn/paper/SAM-2007-Vol%20119%20pp%20297-355.pdf | journal=Physics of Fluids| volume=22 | year=2010 | issue=5 }}; see also this [[Mathematica]] [http://numericaltank.sjtu.edu.cn/publication.htm]
 
[[Category:Asymptotic analysis]]