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Convergence of a semi-analytical method on the fuzzy linear systems | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 11، شماره 4، پاییز 2014، صفحه 45-60 اصل مقاله (414.87 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1623 | ||
| نویسندگان | ||
Mojtaba Ghanbari   1؛ Rahele Nuraei2
| ||
| 1Department of Mathematics, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran | ||
| 2Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 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). | ||
| کلیدواژه‌ها | ||
| Fuzzy linear system؛ Homotopy analysis method؛ Convergence-control parameter؛ Numerical algorithms | ||
| مراجع | ||
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