A generalized fuzzy barycentric Lagrange interpolation method for solving two-dimensional fuzzy fractional Volterra integral equations

被引：0
作者：
Deng, Ting [1 ]
Huang, Jin [1 ]
Wang, Yifei [1 ]
Li, Hu [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[2] Chengdu Normal Univ, Sch Math, Chengdu 611130, Sichuan, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2025年 / 98卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Generalized fuzzy barycentric Lagrange interpolation; Fuzzy fractional Volterra integral equation; Existence and uniqueness of solution; Error analysis; DIFFERENTIAL-EQUATIONS; NUMERICAL-SOLUTION; TAU METHOD; PROPAGATION; ORDER; MODEL;
D O I：
10.1007/s11075-024-01814-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a generalized fuzzy barycentric Lagrange interpolation method is proposed to solve two-dimensional fuzzy fractional Volterra integral equations. Firstly, we use the generalized Gronwall inequality and iterative methods to demonstrate the existence and uniqueness of solutions to the original equation. Secondly, combining the generalized fuzzy interpolation method and the fuzzy Gauss-Jacobi quadrature formula to discretize the original equation into corresponding algebraic equations in fuzzy environment. Then, the convergence of the proposed method is analyzed, and an error estimate is given based on the uniform continuity modulus. Finally, some numerical experiments show that the proposed method has high numerical accuracy for both smooth and non-smooth solutions.
引用
收藏
页码：743 / 766
页数：24
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