SOLVING TWO-DIMENSIONAL FUZZY PARTIAL DIFFERENTIAL EQUATION BY THE ALTERNATING DIRECTION IMPLICIT METHOD

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BARKHORDARI AHMADI M.; KIANI N.A.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2009 | Volume:1 | Issue:2 Page(s): 105-120

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Title

SOLVING TWO-DIMENSIONAL FUZZY PARTIAL DIFFERENTIAL EQUATION BY THE ALTERNATING DIRECTION IMPLICIT METHOD

Author(s)

BARKHORDARI AHMADI M. | KIANI N.A. | Issue Writer Certificate

Keywords

FUZZY-NUMBER

FUZZY-VALUED FUNCTION

GENERALIZED DI ERENTIABILITY

FUZZY PARTIAL DI ERENTIAL EQUATION

ADI METHOD

Abstract

In this paper, the fuzzy partial differential equation is investigated by using the strongly generalized differentiability concept. The alternating direction implicit (ADI) method is proposed for approximating the solution of the two-dimensional heat equation where the initial and boundary conditions are fuzzy numbers. The algorithm is illustrated by solving several examples.

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APA: Copy

BARKHORDARI AHMADI, M., & KIANI, N.A.. (2009). SOLVING TWO-DIMENSIONAL FUZZY PARTIAL DIFFERENTIAL EQUATION BY THE ALTERNATING DIRECTION IMPLICIT METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 1(2), 105-120. SID. https://sid.ir/paper/568740/en

Vancouver: Copy

BARKHORDARI AHMADI M., KIANI N.A.. SOLVING TWO-DIMENSIONAL FUZZY PARTIAL DIFFERENTIAL EQUATION BY THE ALTERNATING DIRECTION IMPLICIT METHOD. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2009;1(2):105-120. Available from: https://sid.ir/paper/568740/en

IEEE: Copy

M. BARKHORDARI AHMADI, and N.A. KIANI, “SOLVING TWO-DIMENSIONAL FUZZY PARTIAL DIFFERENTIAL EQUATION BY THE ALTERNATING DIRECTION IMPLICIT METHOD,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 1, no. 2, pp. 105–120, 2009, [Online]. Available: https://sid.ir/paper/568740/en

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