Some notes concerning the convergence control parameter in homotopy analysis method

Subject Areas : Applied Mathematics

M.  Paripour ¹ (Department of Mathematics, Islamic Azad University, Hamedan Branch , Hamedan, 6518118413, Iran.)
J.  Saeidian ² (Department of Mathematics and Computer Science, Tarbiat Moallem University, 599 Taleghani avenue, Tehran 1561836314, Iran.)

Received: 2015-10-05 Accepted : 2015-10-05 Published : 2012-12-01

Keywords: Homotopy Analysis Method, Convergence-control parameter, Zeroth order deformation equation,

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 claried theadvantages and eects of convergence-control parameter through an example.

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