Geodesic
A variant of the collocation method for the Fredholm integral equations of the second kind
Numerical methods and programming, Tome 18 (2017) no. 2, pp. 187-191

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A special variant of the collocation method based on Bernstein polynomials is proposed and theoretically substantiated for the approximate solution of Fredholm integral equations of the second kind in the space of smooth functions.
Keywords: Fredholm integral equations of the second kind, space of smooth functions, approximate solutions, collocation method, Bernstein polynomials. 
@article{VMP_2017_18_2_a8,
     author = {S. A. Solov'eva},
     title = {A variant of the collocation method for the {Fredholm} integral equations of the second kind},
     journal = {Numerical methods and programming},
     pages = {187--191},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2017_18_2_a8/}
}
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S. A. Solov'eva. A variant of the collocation method for the Fredholm integral equations of the second kind. Numerical methods and programming, Tome 18 (2017) no. 2, pp. 187-191. http://geodesic.mathdoc.fr/item/VMP_2017_18_2_a8/