Some notes concerning the convergence control parameter in homotopy analysis method

Authors

  • J. Saeidian Department of Mathematics and Computer Science, Tarbiat Moallem University, 599 Taleghani avenue, Tehran 1561836314, Iran.
  • M. Paripour Department of Mathematics, Islamic Azad University, Hamedan Branch , Hamedan, 6518118413, Iran.
Abstract:

omotopy analysis method (HAM) is a promising method for handling func-tional equations. Recent publications proved the eectiveness of HAM in solvingwide variety of problems in dierent elds. HAM has a unique property whichmakes it superior to other analytic methods, this property is its ability to con-trol the convergence region of the solution series. In this work, we claried theadvantages and eects of convergence-control parameter through an example.

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Journal title

volume 6  issue 2

pages  61- 72

publication date 2010-01-01

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