Geodesic
On approximate solution of the Dixon integral equation and some its generalizations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1161-1169

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The paper is devoted to the study and numerical analytical solution of Fredholm-type integral equations of the second kind with symmetric kernels represented by homogeneous functions of degree (-1). The well-known Dixon equation and some its direct generalizations are specially considered. The equations are solved by passing to a Wiener–Hopf equation and applying the kernel averaging method. Results of numerical calculations are presented. 
@article{ZVMMF_2017_57_7_a6,
     author = {A. G. Barseghyan},
     title = {On approximate solution of the {Dixon} integral equation and some its generalizations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1161--1169},
     publisher = {mathdoc},
     volume = {57},
     number = {7},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a6/}
}
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A. G. Barseghyan. On approximate solution of the Dixon integral equation and some its generalizations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1161-1169. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a6/