Abstract
A modification of the projection method is proposed for an integral equation of the first kind with a Fourier core on an interval. The proposed method replaces the eigenvectors corresponding to a multiple eigenvalue with odd Hermite functions — the eigenfunctions of the Fourier sine transform on the half-line.
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Krylov, A.S., Lyakishev, A.V. A Modification of the Projection Method for Integral Equation of the First Kind. Computational Mathematics and Modeling 12, 271–278 (2001). https://doi.org/10.1023/A:1012501708195
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DOI: https://doi.org/10.1023/A:1012501708195