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

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