Numerical Methods for Fuzzy Linear Partial Differential Equations under new Definition for Derivative

Document Type : Research Paper

Authors

1 Department of Mathematics, Science and Research Branch Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Nourth Tehran Branch Islamic Azad University, Tehran, Iran

Abstract

In this paper difference methods to solve "fuzzy partial differential equations" (FPDE) such as fuzzy hyperbolic and fuzzy parabolic equations are considered. The existence of the solution and stability of the method are examined in detail. Finally examples are presented to show that the Hausdorff  distance between the exact solution and approximate solution tends to zero.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 7, Issue 3 - Serial Number 3
September and October 2010
Pages 33-50

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