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Volume 4, Issue 6
Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces

Iurie Caraus & Zhilin Li

DOI: 10.4208/aamm.12-12S04

Adv. Appl. Math. Mech., 4 (2012), pp. 737-750.

Published online: 2012-12

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  • 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.

  • Keywords

Collocation method, classical Hölder space, system of singular integro-differential equation, Fejér points.

  • AMS Subject Headings

45E05, 65L60, 41A20

  • Copyright

COPYRIGHT: © Global Science Press

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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.

Caraus , Iurie and Li , Zhilin. (2012). 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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