Multi-step gH-difference-based methods for fuzzy differential equations

被引：0
|
作者：
Leila Safikhani
Alireza Vahidi
Tofigh Allahviranloo
Mozhdeh Afshar Kermani
机构：
[1] Science and Research Branch Islamic Azad University,Department of Mathematics
[2] Yadegar-e-Emam Khomeyni(RAH) Shahr-e-Rey Branch Islamic Azad University,Department of Mathematics, College of Science
[3] Istinye University,Faculty of Engineering and Natural Science
[4] North Tehran Branch Islamic Azad University,Department of Mathematics
来源：
Computational and Applied Mathematics | 2023年 / 42卷
关键词：
Generalized Hukuhara difference; Fuzzy Adams–Bashforth method; Fuzzy Adams–Moulton method; Local truncation error; 34-xx; 65L 12;
D O I：
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中图分类号：
学科分类号：
摘要：
The main purpose of this paper is to introduce fuzzy Adams–Bashforth (A–B) and fuzzy Adams–Moulton (A–M) methods based on the generalized Hukuhara (gH)-differentiability and employ them as the predictor and corrector, respectively. The local truncation error, stability and convergence of these methods are discussed in the sequel. Finally, some fuzzy linear and nonlinear initial value problems (IVPs) are solved. The numerical results obtained here show that our methods provide a suitable approximation for the exact solution.
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