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International Journal of Computer Mathematics Volume 88, 2011 - Issue 2
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Section B

Application of He's homotopy perturbation method to linear programming problems

M. Mehrabinezhad Department of Applied Mathematics, Islamic Azad University, Mashhad Branch, Mashhad, IranCorrespondence[email protected]
&
J. Saberi-Nadjafi Department of Applied Mathematics, School of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran
Pages 341-347 | Received 29 Apr 2009, Accepted 25 Oct 2009, Published online: 26 Nov 2010

References

  • Bazaraa , M. S. , Jarvis , J. J. and Sherali , H. D. 1990 . Linear Programming and Network Flows , 2 , New York : John Wiley & Sons .
  • Biazar , J. and Ghazvini , H. 2008 . Homotopy perturbation method for solving hyperbolic partial differential equations . Comput. Math. Appl. , 56 ( 2 ) : 453 – 458 .
  • Cveticanin , L. 2009 . Application of homotopy-perturbation to non-linear partial differential equations . Chaos, Solitons and Fractals , 40 ( 1 ) : 221 – 228 .
  • Dehghan , M. and Shakeri , F. 2008 . Use of He's homotpy perturbation method for solving a partial differential equation arising in modeling of flow in porous media . J. Porous Media , 11 : 765 – 778 .
  • Dehghan , M. and Shakeri , F. 2009 . The numerical solution of the second Painleve equation . Numer. Methods Partial Differ. Equ. , 25 ( 5 ) : 1238 – 1259 .
  • He , J. H. 1999 . Homotopy perturbation technique . Comput. Methods Appl. Mech. Eng. , 178 : 257 – 262 .
  • He , J. H. 2003 . Homotopy perturbation method: A new non-linear analytical technique . Appl. Math. Comput. , 135 ( 1 ) : 73 – 79 .
  • He , J. H. 2000 . A coupling method of a homotopy technique and a perturbation technique for non-linear problems . Int. J. Non-linear Mech. , 35 ( 1 ) : 37 – 43 .
  • He , J. H. 2004 . Comparison of homotopy perturbation method and homotopy analysis method . Appl. Math. Comput. , 156 ( 2 ) : 527 – 539 .
  • He , J. H. 2006 . Homotopy perturbation method for solving boundary value problems . Phys. Lett. A , 350 : 87 – 88 .
  • He , J. H. 2008 . An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering . Int. J. Mod. Phys. B , 22 ( 21 ) : 3487 – 3578 .
  • Keramati , B. 2009 . An approach to the solution of linear system of equations by He's homotopy perturbation method . Chaos Solitons Fractals , 41 ( 1 ) : 152 – 156 .
  • Momani , S. and Odibat , Z. 2007 . Homotopy perturbation method for nonlinear partial differential equations of fractional order . Phys. Lett. A , 365 : 345 – 350 .
  • Saadatmandi , A. , Dehghan , M. and Eftekhari , A. 2009 . Application of He's homotopy perturbation method for nonlinear system of second-order boundary value problems . Nonlinear Anal. Real World Appl. , 10 : 1912 – 1922 .

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