A Numerical Solution of Fredholm Integral Equations of the Second Kind Based on Tight Framelets Generated by the Oblique Extension Principle
In this paper, we present a new computational method for solving linear Fredholm integral equations of the second kind, which is based on the use of <i>B</i>-spline quasi-affine tight framelet systems generated by the unitary and oblique extension principles. We convert the integral equa...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/11/7/854 |
| Summary: | In this paper, we present a new computational method for solving linear Fredholm integral equations of the second kind, which is based on the use of <i>B</i>-spline quasi-affine tight framelet systems generated by the unitary and oblique extension principles. We convert the integral equation to a system of linear equations. We provide an example of the construction of quasi-affine tight framelet systems. We also give some numerical evidence to illustrate our method. The numerical results confirm that the method is efficient, very effective and accurate. |
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| ISSN: | 2073-8994 |