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![]() CĂRĂUŞ, Iurie, LI, Zhilin. Numerical Solutions of the System of Singular Integro-Differential Equations in Classical Hölder Spaces. In: Advances in Applied Mathematics and Mechanics, 2012, vol. 4, pp. 737-750. ISSN 2070-0733. DOI: https://doi.org/10.1017/S2070073300001843 |
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Advances in Applied Mathematics and Mechanics | ||||||
Volumul 4 / 2012 / ISSN 2070-0733 /ISSNe 2075-1354 | ||||||
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DOI:https://doi.org/10.1017/S2070073300001843 | ||||||
Pag. 737-750 | ||||||
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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. |
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Cuvinte-cheie classical Hölder space, collocation method, Fejér points, system of singular integro-differential equation |
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