On the regularization method of the first kind of Fredholm integral equation with a complex kernel and its application (Q1266147)
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scientific article; zbMATH DE number 1197096
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularization method of the first kind of Fredholm integral equation with a complex kernel and its application |
scientific article; zbMATH DE number 1197096 |
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On the regularization method of the first kind of Fredholm integral equation with a complex kernel and its application (English)
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7 September 1998
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Inverse problems in mathematical physics and applied mathematics may usually be reduced to solving a Fredholm integral equation of the first kind with a kernel representing a known model for the physical phenomenon. In general, this equation is ill-posed in the sense that the solution may not depend continuously on data even when a unique solution exists. The present paper studies the regularized solution method for that equation with a complex kernel. Moreover, a convergence analysis for the approximate solutions is presented and numerical examples are given.
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regularization method
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ill-posed problem
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inverse problems
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Fredholm integral equation of the first kind
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complex kernel
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convergence
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numerical examples
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0.8656463027000427
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0.8272590041160583
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