Abstract
Numerical solution schemes are constructed and justified for two singular integro-differential equations containing an integral, understood in the sense of the Cauchy principal value, over an interval of the real axis. An integral equation with logarithmic kernel of a special form is studied and approximately solved. Uniform error estimates for the approximate solutions are obtained.
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Russian Tex © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 9, pp. 1285–1292.
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Rasol’ko, G.A., Sheshko, S.M. & Sheshko, M.A. Numerical Method for Some Singular Integro-Differential Equations. Diff Equat 55, 1242–1249 (2019). https://doi.org/10.1134/S0012266119090118
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DOI: https://doi.org/10.1134/S0012266119090118