The Legendre Spectral Method for Numerical Solution of the Second Fredholm Integral Equation
- 1 January 2023
- journal article
- Published by Hans Publishers in Advances in Applied Mathematics
- Vol. 12 (03), 1054-1067
- https://doi.org/10.12677/aam.2023.123107
Abstract
In this paper, a Legendre spectral method for solving the second Fredholm integral equation is presented. Firstly, the integral transformation is performed, and then the Legendre-Gauss quadrative formula combined with series expansion method are used to approximate the integral term and the unknown function, and then the approximate solution of the transformed integral equation is obtained, and the error analysis is carried out. Finally, the feasibility and effectiveness of the method are verified by numerical examples.Keywords
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