Solving Two-Dimensional Fuzzy Partial Differential Equation by the Alternating Direction Implicit Method
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نویسنده
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Barkhordari Ahmadi M. ,Kianib N. A.
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منبع
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international journal of industrial mathematics - 2009 - دوره : 1 - شماره : 2 - صفحه:105 -120
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چکیده
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In this paper, the fuzzy partial differential equation is investigated by using the stronglygeneralized di erentiability concept. the alternating direction implicit(adi) method isproposed for approximating the solution of the two-dimensional heat equation where theinitial and boundary conditions are fuzzy numbers. the algorithm is illustrated by solvingseveral examples.
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کلیدواژه
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Fuzzy-number ,Fuzzy-valued function ,Generalized di erentiability ,Fuzzy partial di erentialequation ,ADI method
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آدرس
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islamic azad university, Department of Mathematics, ایران, University of Heidelberg, Viroquant Research Group Modeling, Germany
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پست الکترونیکی
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mahnaz barkhordari@yahoo.com.
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