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 - <p style="text-align: justify;">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.</p>