Upwind difference scheme for fuzzy convection-diffusion equations

被引：0

作者：

Zhang, Chuanlin ^{[1
]}

Ye, Guoju ^{[1
]}

Liu, Wei ^{[1
]}

Liu, Xuelong ^{[1
]}

机构：

[1] Hohai Univ, Sch Math, Nanjing 210098, Peoples R China

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2024年 / 223卷

关键词：

Generalized Hukuhara difference; Upwind difference scheme; Fuzzy convection-diffusion equation; Truncation error; Stability; BOUNDARY-VALUE-PROBLEMS; GENERALIZED HUKUHARA DIFFERENTIABILITY; NUMERICAL-SOLUTIONS; EMBEDDING PROBLEM;

D O I：

10.1016/j.matcom.2024.04.022

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, our main objective is to build fuzzy upwind difference scheme for fuzzy convection-diffusion equations based on generalized Hukuhara derivative with new Taylor expansions. The truncation error and consistency of this scheme are discussed in the sequel. Stability of this scheme is proved by fuzzy Fourier transform, and convergence of this scheme is derived by Lax equivalence theorem. Finally, a numerical example is given and shows that our methods are efficient and stable for solving fuzzy convection-diffusion problems.

引用

页码：351 / 367

页数：17

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