Homotopy analysis method: Difference between revisions

Revision as of 11:15, 20 May 2009

Revision as of 11:17, 20 May 2009

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*{{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 | doi=10.1016/S0020-7462(98)00056-0 }}

*{{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 | doi=10.1016/S0096-3003(02)00790-7 }}

*{{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=297–254297–354 | year=2007 | doi=10.1111/j.1467-9590.2007.00387.x }}; 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 }}