Some notes concerning the convergence control parameter in homotopy analysis method

Theory of Approximation and Applications

مقاله 7، دوره 6، شماره 2، اسفند 2012، صفحه 61-72   

نوع مقاله: Research Articles

نویسندگان

M. Paripour^{* 1}؛ J. Saeidian²

¹Department of Mathematics, Islamic Azad University, Hamedan Branch , Hamedan, 6518118413, Iran.

²Department of Mathematics and Computer Science, Tarbiat Moallem University, 599 Taleghani avenue, Tehran 1561836314, Iran.

چکیده

omotopy analysis method (HAM) is a promising method for handling func-
tional equations. Recent publications proved the eectiveness of HAM in solving
wide variety of problems in dierent elds. HAM has a unique property which
makes 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 the
advantages and eects of convergence-control parameter through an example.

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