Collocation Method for Solving Singular Integral Equations with Discontinuous Coefficients [Articol]
Date
2024
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Abstract
The paper presents an efficient method for solving the Cauchy singular integral equation, which is defined on a closed and smooth contour in the complex plane. The coefficients and the right-hand side of the equation are piecewise continuous functions, numerically defined on a finite set of points along the contour.
Description
Keywords
singular integral equation, piecewise continuous coefficients, collocation method, B-spline functions
Citation
CAPCELEA, Maria and Titu CAPCELEA. Collocation Method for Solving Singular Integral Equations with Discontinuous Coefficients. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 405-408. ISBN 978-9975-68-515-3.