Homotopy analysis method: Difference between revisions

Revision as of 04:55, 25 May 2012

Revision as of 04:59, 25 May 2012

Line 17:

*{{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 |bibcode = 1999IJNLM..34..759L }}

*{{citation | last=Liao | first=S.J. | title=An optimal homotopy-analysis approach for strongly nonlinear differential equations | journal=Communications in Nonlinear Science and Numerical Simulation| volume=15| pages=2003–2016| year=2010 }}Download from site [http://numericaltank.sjtu.edu.cn/publication.htm]

*{{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=297–354 | year=2007 | doi=10.1111/j.1467-9590.2007.00387.x | issue=4 }};

*{{citation | last=Liao | first=S.J. | title=Notes on the homotopy analysis method: some definitions and theorems | 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| journal=Physics of Fluids| volume=22 | year=2010 | issue=5 }}; see also this [http://numericaltank.sjtu.edu.cn/publication.htm]