convergence of a semi-analytical method on the fuzzy linear systems
نویسندگان
چکیده
in this paper, we apply the homotopy analysis method (ham) for solving fuzzy linear systems and present the necessary and sufficient conditions for the convergence of series solution obtained via the ham. also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the ham is applied to linear system of equations. comparisons are made between the results of the ham and several well-known numerical algorithms such as jacobi method (jm), gauss-seidel method (gsm), successive over relaxation method (sor), adomian decomposition method (adm) and homotopy perturbation method (hpm).
منابع مشابه
Convergence of a semi-analytical method on the fuzzy linear systems
In this paper, we apply the homotopy analysis method (HAM) for solving fuzzy linear systems and present the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the HAM is applied to linear system of equations. Comparisons are made between the ...
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عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 11
شماره 4 2014
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