Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations

被引：31
|
作者：
Tari, A. [1 ]
Shahmorad, S. [2 ]
机构：
[1] Shahed Univ, Dept Math, Tehran, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 09期
关键词：
Two-dimensional Volterra integro-differential equations; Differential transform; INTEGRAL-EQUATIONS;
D O I：
10.1016/j.camwa.2011.03.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop the differential transform method (DIM) for solving a class of the system of two-dimensional linear and nonlinear Volterra integro-differential equations of the second kind. To this end, we give some preliminary results of the differential transform and describe the method of this paper. We also give some examples to demonstrate the accuracy of the presented method. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2621 / 2629
页数：9
相关论文
共 50 条
  • [11] Systems of nonlinear Volterra integro-differential equations
    Jalil Rashidinia
    Ali Tahmasebi
    Numerical Algorithms, 2012, 59 : 197 - 212
  • [12] Numerical solution of two-dimensional fractional order Volterra integro-differential equations
    Ahsan, Sumbal
    Nawaz, Rashid
    Akbar, Muhammad
    Nisar, Kottakkaran Sooppy
    Abualnaja, Kholod M.
    Mahmoud, Emad E.
    Abdel-Aty, Abdel-Haleem
    AIP ADVANCES, 2021, 11 (03)
  • [13] Convergence Analysis of the Collocation Method for Solving Two-dimensional Fractional Volterra Integro-differential Equations
    Kazemi, S.
    Tari, A.
    IRANIAN JOURNAL OF SCIENCE, 2024, 48 (06) : 1515 - 1527
  • [14] Numerical Solution of the System of Nonlinear Volterra Integro-differential Equations
    Ebadi, G.
    Rahimi-Ardabili, M. Y.
    Shahmorad, S.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2009, 33 (05) : 835 - 846
  • [15] System of Nonlinear Volterra Integro-Differential Equations of Arbitrary Order
    Parand, Kourosh
    Delkhosh, Mehdi
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (04): : 33 - 54
  • [16] Variation of Parameters Method for Solving System of Nonlinear Volterra Integro-Differential Equations
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Waheed, Asif
    Al-Said, Eisa
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2012, 4 (02) : 190 - 204
  • [17] 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
  • [18] A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order
    Wang, Y.
    Ezz-Eldien, S. S.
    Aldraiweesh, A. A.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 364
  • [19] Stability of a system of Volterra integro-differential equations
    Vanualailai, J
    Nakagiri, S
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 281 (02) : 602 - 619
  • [20] Application of differential transform method on nonlinear integro-differential equations with proportional delay
    Reza Abazari
    Adem Kılıcman
    Neural Computing and Applications, 2014, 24 : 391 - 397
12345