Solving fuzzy system of Volterra integro-differential equations by using Adomian decomposition method

被引：6
|
作者：
Younis, Mahasin Thabet [1 ]
Al-Hayani, Waleed [1 ]
机构：
[1] Univ Mosul, Coll Comp Sci & Math, Dept Math, Mosul, Iraq
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 15卷 / 01期
关键词：
Fyzzy numbers; Fuzzy Systems of Volterra integro-differential equations; Adomian decomposition method; Modified technique; Adomian polynomials; INTEGRAL-EQUATIONS;
D O I：
10.29020/nybg.ejpam.v15i1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the Adomian decomposition method and Modified Technique are successfully applied to find the approximate solutions of the fuzzy system of Volterra integro-differential equations. The approximate solutions obtained have been improved by using the iteration of the integral equation and the numerical solution with the Simpson rule and Trapezoidal rule. These proposed methods gave excellent results close to the exact solution. The results show that the present method is very straightforward and effective.
引用
收藏
页码：290 / 313
页数：24
相关论文
共 50 条
  • [41] One-Step Block Method for Solving Volterra Integro-Differential Equations
    Mohamed, Nurul Atikah Binti
    Majid, Zanariah Abdul
    22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22), 2015, 1682
  • [42] Solving Nonlinear Integro-Differential Equations Using the Combined Homotopy Analysis Transform Method With Adomian Polynomials
    Khanlari, Nahid
    Paripour, Mahmoud
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2018, 9 (04): : 637 - 650
  • [43] Solutions of Nonlinear Integro-Differential Equations Using a Hybrid Adomian Decomposition Method with Modified Bernstein Polynomials
    Almousa, Mohammad
    Saidat, Suhaila
    Al-Hammouri, Ahmad
    Alsaadi, Sultan
    Banihani, Ghada
    INTERNATIONAL JOURNAL OF FUZZY LOGIC AND INTELLIGENT SYSTEMS, 2024, 24 (03) : 271 - 279
  • [44] Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method
    Wang, Yanxin
    Zhu, Li
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [45] Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method
    Yanxin Wang
    Li Zhu
    Advances in Difference Equations, 2017
  • [46] Generalization of Seikkala derivative and differential transform method for fuzzy Volterra integro-differential equations
    Biswas, Suvankar
    Roy, Tapan Kumar
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (04) : 2795 - 2806
  • [47] Solving fuzzy system of Fredholm integro-differential equations of the second kind by using homotopy analysis method
    Yassin, Zena Talal
    Al-Hayani, Waleed
    Jameel, Ali F.
    Amourah, Ala
    Anakira, Nidal
    AIMS MATHEMATICS, 2025, 10 (01): : 1704 - 1740
  • [48] EXPANSION APPROACH FOR SOLVING NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
    Rashidinia, J.
    Tahmasebi, A.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, 5 (01): : 14 - 27
  • [49] Using ANNs Approach for Solving Fractional Order Volterra Integro-differential Equations
    Jafarian, Ahmad
    Rostami, Fariba
    Golmankhaneh, Alireza K.
    Baleanu, Dumitru
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2017, 10 (01) : 470 - 480
  • [50] A Novel Approach to Solve Nonlinear Higher Order Fractional Volterra-Fredholm Integro-Differential Equations Using Laplace Adomian Decomposition Method
    Hamood, Maha M.
    Sharif, Abdulrahman A.
    Ghadle, Kirtiwant P.
    INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS, 2025, 38 (02)
12345