Numerical solution and structural analysis of two-dimensional integral-algebraic equations

被引：0
作者：
S. Pishbin
机构：
[1] Urmia University,Department of Mathematics, Faculty of Sciences
来源：
Numerical Algorithms | 2016年 / 73卷
关键词：
Two-dimensional integral-algebraic equations; -smoothing Volterra operator; Orthogonal polynomial collocation methods; Numerical treatment; Error analysis; 65R20; 45F15; 45D05;
D O I：
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学科分类号：
摘要：
The υ-smoothing property of a one-dimensional Volterra integral operator and some projectors (Liang and Brumer, SIAM J. Numer. Anal. 51, 2238–2259 (2013)) are extended for two-dimensional integral-algebraic equations (TIAEs). Using these concepts, we decompose the given general TIAEs into mixed systems of two-dimensional Volterra integral equations (TVIEs) consisting of second- and first-kind TVIEs. Numerical technique based on the Chebyshev polynomial collocation methods is presented for the solution of the mixed TVIE system. Global convergence results are established and the performance of the numerical scheme is illustrated by means of some test problems.
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页码：305 / 322
页数：17
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