Research Article
Oct 1981
Numerical Solution of Singular Integral Equations: Methods
Publication: Journal of the Engineering Mechanics Division
Volume 107, Issue 5
Abstract
Several methods for the numerical solution of Cauchy-type singular integral equations, frequently encountered in two-dimensional elasticity, are established. The well known numerical integration rules are properly combined in order to handle numerically Cauchy-type singular integral equations along the integration interval [-1, 1] and for a large variety of weight functions. In this way, such an equation (or a system of such equations) can be numerically sloved by reduction to a system of linear equations. For this reduction, the singular integral equation is applied to a number of appropriately selected points of the integration interval, and then a numerical integration rule is used for the approximation of the integrals in this equation.
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Published In
Journal of the Engineering Mechanics Division
Volume 107 • Issue 5 • October 1981
Pages: 733 - 752
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© 1981 American Society of Civil Engineers.
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Published in print: Oct 1981
Published online: Feb 3, 2021
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Authors
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Pericles S. Theocaris
Prof., Chair of Mech. A', Athens National Technical Univ., 5 K. Zographou St., Zographou, Athens 624, Greece
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