Solving nonlinear Fredholm integral equations with PQWs in complex plane (Q2113827)
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scientific article; zbMATH DE number 7488861
| Language | Label | Description | Also known as |
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| English | Solving nonlinear Fredholm integral equations with PQWs in complex plane |
scientific article; zbMATH DE number 7488861 |
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Solving nonlinear Fredholm integral equations with PQWs in complex plane (English)
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14 March 2022
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Summary: In this paper, we propose a numerical scheme to solve a kind of nonlinear Fredholm integral equations of the second kind in the complex plane. The periodic quasi-wavelets (PQWs) constructed on \([0, 2 \pi]\) are utilised as a basis of iteration method. Using the Banach fixed point theorem, we obtain some results concerning the error analysis. Illustrative examples are included to demonstrate the validity and applicability of the technique.
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nonlinear Fredholm integral equation
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PQW
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periodic quasi-wavelet
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complex plane
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fixed point theorem
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error analysis
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