Product integration-collocation methods for noncompact integral operator equations
نویسندگان
چکیده
منابع مشابه
Product Integration-Collocation Methods for Noncompact Integral Operator Equations*
We discuss the numerical solution of a class of second-kind integral equations in which the integral operator is not compact. Such equations arise, for example, when boundary integral methods are applied to potential problems in a two-dimensional domain with corners in the boundary. We are able to prove the optimal orders of convergence for the usual collocation and product integration methods ...
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The collocation method based on cubic B-spline, is developed to approximate the solution of second kind nonlinear Fredholm integral equations. First of all, we collocate the solution by B-spline collocation method then the Newton-Cotes formula use to approximate the integrand. Convergence analysis has been investigated and proved that the quadrature rule is third order convergent. The presented...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1988
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1988-0917821-1