On spectral methods for Volterra-type integro-differential equations

被引：52

作者：

Jiang, Ying-Jun ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Dept Math & Sci Comp, Changsha 410076, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 02期

关键词：

Legendre-spectral method; Gauss quadrature formulas; Volterra-type integro-differential equations; PARTIAL-DIFFERENTIAL-EQUATIONS; LAGUERRE;

D O I：

10.1016/j.cam.2008.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the spectral methods fora Volterra-type integro-differential equation. Firstly, the Volterra-type integro-differential equation is equivalently restated as two integral equations of the second kind. Secondly, a Legendre-collocation method is used to solve them. Then the error analysis is conducted based on the L(infinity)-norm. In addition, numerical results are presented to confirm our analysis. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：333 / 340

页数：8

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