convergence of a semi-analytical method on the fuzzy linear systems
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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).
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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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in this paper we present a method for solving fuzzy linear systemsby two crisp linear systems. also necessary and sufficient conditions for existenceof solution are given. some numerical examples illustrate the efficiencyof the method.
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Journal title:
iranian journal of fuzzy systemsPublisher: university of sistan and baluchestan
ISSN 1735-0654
volume 11
issue 4 2014
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