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
Mathematics, {bf 2}textbf{(3)} (2002), 233-242.
linear equations}, Appl. Math. and Com., {bf 175} (2006), 1217-1228.
differentiability of fuzzy number valued functions with
applications to fuzzy differential equations}, Fuzzy Sets and Systems,
{bf 151} (2005), 581-99.
partial differential equations}, Fuzzy Sets and Systems, {bf 105} (1999), 241-248.
analysis}, Brooks Cole, 2000.
fuzzy differential equations}, Chaos Solutions and Fractals, {bf 38}textbf{(1)} (2008), 112-119.
bibitem{DUPR} D. Dubois and H. Prade, {it Towards fuzzy differential calculus: Part 3}, Differentiation Fuzzy Sets and Systems, {bf 8} (1982), 225-233.
bibitem{GOVO} R. Goetschel and W. Voxman, {it Elementary fuzzy calculus},
Fuzzy Sets and Systems, {bf 18} (1986), 31-43.
{bf 24} (1987), 301-317.
equations}, Fuzzy Sets and Systems, {bf 35} (1990), 389-396.
of fuzzy differential equatios}, Fuzzy Sets and Systems, {bf 105} (1999), 133-138.
{bf 24} (1987), 319-330.
)