Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces
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@Article{AAMM-4-737,
author = {Caraus , Iurie and Li , Zhilin},
title = {Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {6},
pages = {737--750},
abstract = {
New numerical methods based on collocation methods with the mechanical quadrature rules are proposed to solve some systems of singular integro-differential equations that are defined on arbitrary smooth closed contours of the complex plane. We carry out the convergence analysis in classical Hölder spaces. A numerical example is also presented.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-12S04}, url = {http://global-sci.org/intro/article_detail/aamm/146.html} }
TY - JOUR
T1 - Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces
AU - Caraus , Iurie
AU - Li , Zhilin
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 737
EP - 750
PY - 2012
DA - 2012/12
SN - 4
DO - http://doi.org/10.4208/aamm.12-12S04
UR - https://global-sci.org/intro/article_detail/aamm/146.html
KW - Collocation method, classical Hölder space, system of singular integro-differential equation, Fejér points.
AB -
New numerical methods based on collocation methods with the mechanical quadrature rules are proposed to solve some systems of singular integro-differential equations that are defined on arbitrary smooth closed contours of the complex plane. We carry out the convergence analysis in classical Hölder spaces. A numerical example is also presented.
Iurie Caraus & Zhilin Li. (1970). Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces.
Advances in Applied Mathematics and Mechanics. 4 (6).
737-750.
doi:10.4208/aamm.12-12S04
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