Fuzzy multiquadric radial basis functions for solving fuzzy partial differential equations

被引：4

作者：

Dirbaz, M. ^{[1
]}

Allahviranloo, T. ^{[1
,2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran

[2] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 04期

关键词：

Fuzzy multi quadric radial basic functions; Fuzzy interpolation; Fuzzy modified Euler's method; Fuzzy partial differential equation; APPROXIMATIONS;

D O I：

10.1007/s40314-019-0942-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, first we define the fuzzy multiquadric radial basis functions (FMQRBF). In the following, using the (FMQRBF) as the basis functions on the fuzzy interpolation expansion, we introduce the fuzzy multiquadric radial basis functions interpolation. Moreover, by considering (FMQRBF) and our obtained fuzzy method based on generalized Hukuhara difference (modified Euler's) (Dirbaz and Allahviranloo in Fuzzy Sets Syst 2016:1-24, 2016), we present an algorithm of the fuzzy meshless method of lines for solving fuzzy partial differential equations. Finally, by the proposed fuzzy method we solve some numerical examples and analyze the errors in details.

引用

页数：19

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