TY - JOUR

T1 - On modi ed spline collocations method for solving the Fredholm integral equation

AU - Kulikov, E. K.

AU - Makarov, A. A.

N1 - Publisher Copyright: © 2021 Saint-Petersburg State University. All rights reserved.

PY - 2021

Y1 - 2021

N2 - A numerical method to solve a Fredholm integral equation of the second kind is studied. This approach is based on a collocation method and Sloan iterations. Our solution is represented by a linear combination of minimal splines, and the coe cients are calculated by a method of local approximation (quasi-interpolation). The results of numerical experiments demonstrating how the quality of approximation can be improved by using minimal trigonometric splines and corresponding functionals in comparison with several earlier suggested approaches are presented.

AB - A numerical method to solve a Fredholm integral equation of the second kind is studied. This approach is based on a collocation method and Sloan iterations. Our solution is represented by a linear combination of minimal splines, and the coe cients are calculated by a method of local approximation (quasi-interpolation). The results of numerical experiments demonstrating how the quality of approximation can be improved by using minimal trigonometric splines and corresponding functionals in comparison with several earlier suggested approaches are presented.

KW - approximation functionals

KW - collocation method

KW - Fredholm integral equation of the second kind

KW - local approximation

KW - minimal splines

KW - quasi-interpolation

UR - http://www.scopus.com/inward/record.url?scp=85129971064&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85129971064

VL - 2021

SP - 211

EP - 223

JO - ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ И ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ И ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1817-2172

IS - 4

ER -