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

[21] Proportional integral derivative controller design using Legendre orthogonal functions
Reza Moradi
Mohammad Tabatabaei
Journal of Central South University, 2016, 23 (10) : 2616 - 2629
[22] Proportional integral derivative controller design using Legendre orthogonal functions
Moradi, Reza
Tabatabaei, Mohammad
JOURNAL OF CENTRAL SOUTH UNIVERSITY, 2016, 23 (10) : 2616 - 2629
[23] Solving a category of two-dimensional fractional optimal control problems using discrete Legendre polynomials
Rezazadeh, Arezou
Avazzadeh, Zakieh
ASIAN JOURNAL OF CONTROL, 2023, 25 (01) : 551 - 562
[24] Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations
Mittal, A. K.
CALCOLO, 2023, 60 (04)
[25] Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method
Eshaghi, Jafar
Adibi, Hojatollah
Kazem, Saeed
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (12) : 3411 - 3425
[26] Numerical solution of two-dimensional fractional optimal control problems using fractional Vieta-Fibonacci wavelets
Hoseini, Tahere
Ordokhani, Yadollah
Rahimkhani, Parisa
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2025,
[27] Numerical solution of linear control systems using interpolation scaling functions
Saray, Behzad Nemati
Shahriari, Mohammad
COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2016, 4 (02): : 139 - 150
[28] Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions
Safavi, M.
Khajehnasiri, A. A.
COGENT MATHEMATICS & STATISTICS, 2018, 5 (01):
[29] Numerical solution of two-dimensional nonlinear fractional order reaction-advection-diffusion equation by using collocation method
Singh, Manpal
Das, S.
Rajeev
Craciun, E-M
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2021, 29 (02): : 211 - 230
[30] Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions
Chen, Yiming
Sun, Yannan
Liu, Liqing
APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 847 - 858

← 1 2 3 4 5 →