Numerical Solution of Two-Dimensional Integral-Algebraic Systems Using Legendre Functions

被引：0

作者：

Nemati, S. ^{[1
]}

Lima, P. ^{[2
]}

Ordokhani, Y. ^{[1
]}

机构：

[1] Alzahra Univ, Dept Math, Tehran, Iran

[2] Univ Tecn Lisboa, Inst Super Tecn, Dept Mat, CEMAT, P-1049001 Lisbon, Portugal

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷

关键词：

Two-dimensional integral-algebraic systems; Legendre functions; Operational matrix; Linear equations;

D O I：

10.1063/1.4756109

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a method for computing approximate solutions to systems of two-dimensional Volterra integral equations. The approximate solution is sought in the form of a linear combination of two-variable shifted Legendre functions. The operational matrices technique is used to reduce the problem to a system of linear algebraic equations. Some numerical tests have been carried out and the results show that this method has a good performance, even in the case when the system matrix is singular in the whole considered domain.

引用

页码：246 / 249

页数：4

共 50 条

[31] The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision
Assari, Pouria
Dehghan, Mehdi
ENGINEERING WITH COMPUTERS, 2017, 33 (04) : 853 - 870
[32] The numerical solution of two-dimensional logarithmic integral equations on normal domains using radial basis functions with polynomial precision
Pouria Assari
Mehdi Dehghan
Engineering with Computers, 2017, 33 : 853 - 870
[33] Numerical solution of two-dimensional nonlinear Volterra integral equations of the first kind using operational matrices of hybrid functions
Maleknejad, K.
Shahabi, M.
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2022, 99 (10) : 2105 - 2122
[34] NUMERICAL SOLUTION OF A CLASS OF NONLINEAR TWO-DIMENSIONAL INTEGRAL EQUATIONS USING BERNOULLI POLYNOMIALS
Bazm, Sohrab
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2016, 3 (01): : 37 - 51
[35] NUMERICAL SOLUTION OF INTEGRAL EQUATIONS USING LEGENDRE POLYNOMIALS
KSCHWENDT, H
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (10) : 1964 - +
[36] Numerical Solution of Integral-Algebraic Equations with a Weak Boundary Singularity by k-step Methods
Botoroeva, M. N.
Budnikova, O. S.
Bulatov, M., V
Orlov, S. S.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2021, 61 (11) : 1787 - 1799
[37] A POSTERIORI ERROR ESTIMATION FOR THE LEGENDRE COLLOCATION METHOD APPLIED TO INTEGRAL-ALGEBRAIC VOLTERRA EQUATIONS
Pishbin, S.
Ghoreishi, F.
Hadizadeh, M.
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 2011, 38 : 327 - 346
[38] A direct numerical method for approximate solution of inverse reaction diffusion equation via two-dimensional Legendre hybrid functions
I. Gholampoor
M. Tavassoli Kajani
Numerical Algorithms, 2020, 83 : 511 - 528
[39] Numerical solution for the systems of variable-coefficient coupled Burgers' equation by two-dimensional Legendre wavelets method
Aminikhah, Hossein
Moradian, Sakineh
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2014, 9 (01): : 342 - 361
[40] A direct numerical method for approximate solution of inverse reaction diffusion equation via two-dimensional Legendre hybrid functions
Gholampoor, I.
Kajani, M. Tavassoli
NUMERICAL ALGORITHMS, 2020, 83 (02) : 511 - 528

← 1 2 3 4 5 →