Operational Tau method for singular system of Volterra integro-differential equations

被引：13
|
作者：
Pishbin, S. [1 ]
机构：
[1] Urmia Univ, Fac Sci, Dept Math, POB 165, Orumiyeh, Iran
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 311卷
关键词：
Singular system of Volterra integro-differential equations; nu-smoothing Volterra operator; Legendre spectral Tau methods; Error analysis; INTEGRAL-ALGEBRAIC EQUATIONS; CONVERGENCE ANALYSIS; COLLOCATION METHODS; NUMERICAL-SOLUTION;
D O I：
10.1016/j.cam.2016.07.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Legendre spectral Tau matrix formulation is proposed to approximate solution of singular system of Volterra integro-differential equations. The existence and uniqueness solution of this system are investigated by means of the nu-smoothing property of a Volterra integral operator and some projectors. The L-2-convergence of the numerical method is analyzed. It is proved theoretically and demonstrated numerically that the proposed method converges exponentially. Finally, two numerical examples illustrate the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.
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页码：205 / 214
页数：10
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