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：
暂无
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.
引用
收藏
相关论文
共 50 条
  • [1] Multi-step gH-difference-based methods for fuzzy differential equations
    Safikhani, Leila
    Vahidi, Alireza
    Allahviranloo, Tofigh
    Afshar Kermani, Mozhdeh
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (01):
  • [2] Multi-step methods for equations
    Kumar S.
    Sharma J.R.
    Argyros I.K.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2024, 70 (4) : 1193 - 1215
  • [3] Multi-step Maruyama methods for stochastic delay differential equations
    Buckwar, Evelyn
    Winkler, Renate
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2007, 25 (05) : 933 - 959
  • [4] Improved linear multi-step methods for stochastic ordinary differential equations
    Buckwar, Evelyn
    Winkler, Renate
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 205 (02) : 912 - 922
  • [5] Symmetric-Type Multi-Step Difference Methods for Solving Nonlinear Equations
    Argyros, Ioannis K.
    Shakhno, Stepan
    Regmi, Samundra
    Yarmola, Halyna
    Argyros, Michael I.
    SYMMETRY-BASEL, 2024, 16 (03):
  • [6] On multi-step methods for singular fractional q-integro-differential equations
    Hajiseyedazizi, Sayyedeh Narges
    Samei, Mohammad Esmael
    Alzabut, Jehad
    Chu, Yu-ming
    OPEN MATHEMATICS, 2021, 19 (01): : 1378 - 1405
  • [7] A differential difference comparator for multi-step A/D converters
    Xu, G
    Yuan, JR
    PROCEEDINGS OF THE 2003 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL I: ANALOG CIRCUITS AND SIGNAL PROCESSING, 2003, : 257 - 260
  • [8] On Failed Methods of Fractional Differential Equations: The Case of Multi-step Generalized Differential Transform Method
    Ahrabi, Sima Sarv
    Momenzadeh, Alireza
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (04)
  • [9] On Failed Methods of Fractional Differential Equations: The Case of Multi-step Generalized Differential Transform Method
    Sima Sarv Ahrabi
    Alireza Momenzadeh
    Mediterranean Journal of Mathematics, 2018, 15
  • [10] Explicit multi-step peer methods for special second-order differential equations
    Jebens, Stefan
    Weiner, Ruediger
    Podhaisky, Helmut
    Schmitt, Bernhard A.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 202 (02) : 803 - 813
12345