An iterative method is proposed and investigated for the solution of an integral equation with a kernel with a logarithmic singularity in an arbitrary definition domain.
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V. I. Dmitriev and E. V. Zakharov, “Numerical solution of some Fredholm integral equations of the first kind,” in: Vyschisl. Metody i Programmirovanie, Izd. MGU, Moscow, 10, 49–54 (1968).
V. I. Dmitriev and R. V. Sal’nikov, “Iterative method for solving integral equations of the first kind,” Prikl. Mat. Informat., No. 15, 5–10 (2003); English translation: Comput. Math. Model., 15, No. 4, 315–319 (2004).
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Translated from Prikladnaya Matematika i Informatika, No. 56, 2017, pp. 61–71.
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Dmitriev, V.I., Dmitrieva, I.V. & Osokin, N.A. Solution of an Integral Equation of the First Kind with a Logarithmic Kernel. Comput Math Model 29, 307–318 (2018). https://doi.org/10.1007/s10598-018-9411-8
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DOI: https://doi.org/10.1007/s10598-018-9411-8