A Spline Method for Solving Two-Dimensional Fredholm Integral Equation of Second Kind with the Hypersingular Kernel
Year: 2001
Author: Ren-Hong Wang, You Lu
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 225–230
Abstract
The purpose of this paper is to adopt the quasi-interpolating operators in multivariate spline space $S^1_2(\Delta^{2*}_{mn})$ to solve two-dimensional Fredholm Integral Equations of second kind with the hypersingular kernels. The quasi-interpolating operators are put forward in ([7]). Based on the approximation properties of the operators, we obtain the uniform convergence of the approximate solution sequence on the Second Kind Fredholm intergral equation with the Cauchy singular kernel function.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8975
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 3 : pp. 225–230
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: Hypersingular integral Finite-part integral Quasi-interpolating operator Nonuniform type-2 triangulation.