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

被引:7
作者
Jafarzadeh, Yousef [1 ]
Keramati, Bagher [1 ]
机构
[1] Semnan Univ, Dept Math, Semnan, Iran
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
收藏
页数:7
相关论文
共 50 条
[41]   FINITE ELEMENT METHOD FOR A CLASS OF PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INTERFACES [J].
Deka, B. ;
Deka, R. C. .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2013, 44 (06) :823-847
[42]   An efficient numerical scheme for a nonlinear integro-differential equations with an integral boundary condition [J].
Mollapourasl, R. .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 248 :8-17
[43]   Radial basis function networks in the numerical solution of linear integro-differential equations [J].
Golbabai, A. ;
Seifollahi, S. .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) :427-432
[44]   A wavelet Petrov-Galerkin method for solving integro-differential equations [J].
Maleknejad, K. ;
Rabbani, M. ;
Aghazadeh, N. ;
Karami, M. .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2009, 86 (09) :1572-1590
[45]   A numerical scheme for the solution of neutral integro-differential equations including variable delay [J].
Gurbuz, Burcu .
MATHEMATICAL SCIENCES, 2022, 16 (01) :13-21
[46]   Comparison of Selected Numerical Methods for Solving Integro-Differential Equations with the Cauchy Kernel [J].
Brociek, Rafal ;
Pleszczynski, Mariusz .
SYMMETRY-BASEL, 2024, 16 (02)
[47]   BOUNDARY INTEGRO-DIFFERENTIAL EQUATIONS OF ELLIPTIC BOUNDARY VALUE PROBLEMS AND THEIR NUMERICAL SOLUTIONS [J].
韩厚德 .
Science China Mathematics, 1988, (10) :1153-1165
[48]   Feedback Volterra control of integro-differential equations [J].
Pepe, G. ;
Paifelman, E. ;
Carcaterra, A. .
INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (11) :2651-2670
[49]   A parallel method for the numerical solution of integro-differential equation with positive memory [J].
Kwon, KW ;
Sheen, DW .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (41-42) :4641-4658
[50]   Oscillation of nonlinear delay integro-differential equations [J].
Bacova, Beatrix ;
Olach, Rudolf .
CDDEA '06: PROCEEDINGS OF THE CONFERENCE ON DIFFERENTIAL AND DIFFERENCE EQUATIONS AND APPLICATIONS 2006, 2007, 38 :1-10