A NUMERICAL METHOD FOR SOLVING SYSTEMS OF HYPERSINGULAR INTEGRO-DIFFERENTIAL EQUATIONS

被引：5
|
作者：
De Bonis, Maria Carmela [1 ,2 ,3 ]
Mennouni, Abdelaziz [4 ]
Occorsio, Donatella [1 ,2 ,3 ]
机构：
[1] Dept Math Comp Sci & Econ, Viale Ateneo Lucano 10, I-85100 Potenza, Italy
[2] INdAM Res Grp GNCS, Rome, Italy
[3] Res ITalian Network Approximat RITA, Senigallia, Italy
[4] Univ Batna 2 Mostefa Ben Boulaid, Dept Math, LTM, Batna, Algeria
来源：
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2023年 / 58卷
关键词：
Chebyshev nodes; filtered approximation; Holder-Zygmund spaces; system of Prandtl's integro-differential equations;
D O I：
10.1553/etna_vol58s378
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a collocation-quadrature method for solving systems of Prandtl's integro-differential equations based on de la Vallee Poussin filtered interpolation at Chebyshev nodes. We prove stability and convergence in Holder-Zygmund spaces of locally continuous functions. Some numerical tests are presented to examine the method's efficacy.
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页码：378 / 393
页数：16
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