Some notes concerning the convergence control parameter in homotopy analysis method
محورهای موضوعی : Applied Mathematics
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.
کلید واژه: Homotopy Analysis Method, Convergence-control parameter, Zeroth order deformation equation,
چکیده مقاله :
omotopy analysis method (HAM) is a promising method for handling func-tional equations. Recent publications proved the e ectiveness of HAM in solvingwide variety of problems in di erent 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 e ects of convergence-control parameter through an example.
omotopy analysis method (HAM) is a promising method for handling func-tional equations. Recent publications proved the e ectiveness of HAM in solvingwide variety of problems in di erent 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 e ects of convergence-control parameter through an example.
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