Numerical method for a system of integro-differential equations by Lagrange interpolation

被引：6

作者：

Jafarzadeh, Yousef ^{[1
]}

Keramati, Bagher ^{[1
]}

机构：

[1] Semnan Univ, Dept Math, Semnan, Iran

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2016年 / 9卷 / 04期

关键词：

Lagrange polynomial; integro-differential equation; Volterra-Fredholm equations;

D O I：

10.1142/S1793557116500777

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present the Lagrange polynomial solutions to system of higher-order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms the IDVFE into the matrix equations which is converted to a system of linear algebraic equations. Some numerical results are given to illustrate the efficiency of the method.

引用

页数：7

共 50 条

[1] Lagrange interpolation to compute the numerical solutions of differential, integral and integro-differential equations
Rashed, MT
APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (03) : 869 - 878
[2] A method for the numerical solution of the integro-differential equations
Darania, P.
Ebadian, Ali
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 657 - 668
[3] Numerical solution of the system of Fredholm integro-differential equations by the Tau method
Pour-Mahmoud, J
Rahimi-Ardabili, MY
Shahmorad, S
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (01) : 465 - 478
[4] A numerical method for a nonlinear system of integro-differential equations arising in thermoviscoelasticity
Copetti, M. I. M.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (4-6) : 1085 - 1094
[5] Numerical implementation of differential transformations method for integro-differential equations
Ozkan, Ozan
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (12) : 2786 - 2797
[6] Numerical Method for Some Singular Integro-Differential Equations
Rasol'ko, G. A.
Sheshko, S. M.
Sheshko, M. A.
DIFFERENTIAL EQUATIONS, 2019, 55 (09) : 1242 - 1249
[7] A numerical method for functional Hammerstein integro-differential equations
Saeedi, L.
Tari, A.
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2018, 13 (01): : 333 - 353
[8] Numerical Method for Some Singular Integro-Differential Equations
G. A. Rasol’ko
S. M. Sheshko
M. A. Sheshko
Differential Equations, 2019, 55 : 1242 - 1249
[9] A numerical sinc method for systems of integro-differential equations
Zarebnia, M.
Abadi, M. G. Ali
PHYSICA SCRIPTA, 2010, 82 (05)
[10] Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations
Yang, Xingfa
Yang, Yin
Chen, Yanping
Liu, Jie
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2018, 10 (06) : 1440 - 1458

← 1 2 3 4 5 →