Superconvergence of functional approximation methods for integral equations |
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Authors: | Guangqing Long Gnaneshwar Nelakanti |
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Affiliation: | 1. Department of Mathematics, Guangxi Normal College, Nanning 530001, PR China;2. Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing, 100080, PR China;3. Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal-721302, India |
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Abstract: | In this work, a functional approximation method for calculating the linear functional of the solution of second-kind Fredholm integral equations is developed. When the method is applied to the collocation method or to the multi-projection method, it generates approximations which exhibit superconvergence. |
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