Half-sweep two parameter alternating group explicit iterative method applied to fuzzy Poisson equation

Half-sweep two parameter alternating group explicit iterative method applied to fuzzy Poisson equation
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半扫描二参数交替群显式迭代法应用于模糊泊松方程

DOI:
10.12988/ams.2016.510627
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发表时间:
2016
期刊:
Applied mathematical sciences
影响因子:
--
通讯作者:
J. Sulaiman
J. Sulaiman
中科院分区:
--
文献类型:
--
作者:
A. A. Dahalan;J. Sulaiman

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采用迭代方法,特别是双参数交替分组显式(TAGE)方法求解两点模糊边值问题(FBVP)离散化后的线性方程组。全扫描TAGE(FSTAGE)和半扫描TAGE(HSTAGE)方法的制定和实施。通过两个算例验证了该方法的有效性。结果表明,TAGE方法在迭代次数、执行时间和Hausdorff距离等方面均优于AGE方法,具有上级优势。
Iterative methods particularly the Two Parameter Alternating Group Explicit (TAGE) methods are used to solve system of linear equations generated from the discretization of two-point fuzzy boundary value problems (FBVPs). The formulation and implementation of the Full-Sweep TAGE (FSTAGE) and Half-Sweep TAGE (HSTAGE) methods are also presented. Then numerical experiments are carried out onto two example problems to verify the effectiveness of the method. The results show that TAGE method is superior compare to AGE method in the aspect of number of iterations, execution time and Hausdorff distance.