Some notes concerning the convergence control parameter in homotopy analysis method

Document Type: Research Articles


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

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


omotopy analysis method (HAM) is a promising method for handling func-
tional equations. Recent publications proved the e ectiveness of HAM in solving
wide variety of problems in di erent 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 e ects of convergence-control parameter through an example.

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