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

页码：2621 / 2629

页数：9

共 50 条

[21] Numerical Analysis of the Fractional-Order Nonlinear System of Volterra Integro-Differential Equations
Sunthrayuth, Pongsakorn
Ullah, Roman
Khan, Adnan
Shah, Rasool
Kafle, Jeevan
Mahariq, Ibrahim
Jarad, Fahd
JOURNAL OF FUNCTION SPACES, 2021, 2021
[22] Blow-up solutions of nonlinear Volterra integro-differential equations
Ma, Jingtang
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) : 2551 - 2559
[23] Generalized Differential Transform Method for Solving Some Fractional Integro-Differential Equations
Shahmorad, S.
Khajehnasiri, A. A.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2019, 14 (01): : 211 - 222
[24] Solving fuzzy system of Volterra integro-differential equations by using Adomian decomposition method
Younis, Mahasin Thabet
Al-Hayani, Waleed
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (01): : 290 - 313
[25] A Legendre spectral method for multidimensional partial Volterra integro-differential equations
Zheng, Weishan
Chen, Yanping
Zhou, Jianwei
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 436
[26] ON SPECTRAL METHOD FOR VOLTERRA FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE
Sedaghat, S.
Ordokhani, Y.
Dehghan, Mehdi
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (02) : 223 - 239
[27] A Friendly Iterative Technique for Solving Nonlinear Integro-Differential and Systems of Nonlinear Integro-Differential Equations
Hemeda, A. A.
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (03)
[28] Extension of the differential transformation method to nonlinear differential and integro-differential equations with proportional delays
Smarda, Zdenek
Diblik, Josef
Khan, Yasir
ADVANCES IN DIFFERENCE EQUATIONS, 2013, : 1 - 12
[29] Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations
Yi, Lijun
Zhang, Mingzhu
Mao, Xinyu
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 427
[30] An hp-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays
Sheng, Chang-tao
Wang, Zhong-qing
Guo, Ben-yu
APPLIED NUMERICAL MATHEMATICS, 2016, 105 : 1 - 24

← 1 2 3 4 5 →