On a solution of the fuzzy Dirichlet problem for the heat equation
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- 作者：N.A. Gasilova ; gasilov@baskent.edu.tr" class="auth_mail" title="E-mail the corresponding author ; Ş. Emrah Amrahovb ; emrah@eng.ankara.edu.tr" class="auth_mail" title="E-mail the corresponding author ; A.G. Fatullayeva ; afet@baskent.edu.tr" class="auth_mail" title="E-mail the corresponding author
- 关键词：Fuzzy differential equation ; Fuzzy partial differential equation ; Heat equation ; Dirichlet problem ; Fuzzy set
- 刊名：International Journal of Thermal Sciences
- 出版年：2016
- 出版时间：May 2016
- 年：2016
- 卷：103
- 期：Complete
- 页码：67-76
- 全文大小：1805 K
文摘
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New solution method to fuzzy partial differential equations.
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Extending of the concept of triangular fuzzy function for the case of two variables.
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Constructing a solution as a fuzzy set of real functions (not as a fuzzy-valued function).
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Proving the theorem of existence and uniqueness of the solution.
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Demonstration of the proposed solution method on examples.