Abstract
- The present paper is devoted to the application of local polynomial integro-differential splines to the solution of integral equations, in particular, to the solution of the integral equations of Fredholm of the second kind. To solve the Fredholm equation of the second kind, we apply local polynomial integro-differential splines of the second and third order of approximation. To calculate the integral in the formulae of a piecewise quadratic integro-differential spline and piecewise linear integro-differential spline, we propose the corresponding quadrature formula. The results of the numerical experiments are given.
| Original language | English |
|---|---|
| Pages (from-to) | 319-328 |
| Number of pages | 10 |
| Journal | WSEAS Transactions on Mathematics |
| Volume | 17 |
| Publication status | Published - 1 Jan 2018 |
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Scopus subject areas
- Algebra and Number Theory
- Endocrinology, Diabetes and Metabolism
- Statistics and Probability
- Discrete Mathematics and Combinatorics
- Management Science and Operations Research
- Control and Optimization
- Computational Mathematics
- Applied Mathematics
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On the solution of the Fredholm equation of the second kind. / Burova, I. G.; Domnin, N. S.; Vezhlev, A. E.; Lebedeva, A. V.; Pakulina, A. N.
In: WSEAS Transactions on Mathematics, Vol. 17, 01.01.2018, p. 319-328.Research output
TY - JOUR
T1 - On the solution of the Fredholm equation of the second kind
AU - Burova, I. G.
AU - Domnin, N. S.
AU - Vezhlev, A. E.
AU - Lebedeva, A. V.
AU - Pakulina, A. N.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - - The present paper is devoted to the application of local polynomial integro-differential splines to the solution of integral equations, in particular, to the solution of the integral equations of Fredholm of the second kind. To solve the Fredholm equation of the second kind, we apply local polynomial integro-differential splines of the second and third order of approximation. To calculate the integral in the formulae of a piecewise quadratic integro-differential spline and piecewise linear integro-differential spline, we propose the corresponding quadrature formula. The results of the numerical experiments are given.
AB - - The present paper is devoted to the application of local polynomial integro-differential splines to the solution of integral equations, in particular, to the solution of the integral equations of Fredholm of the second kind. To solve the Fredholm equation of the second kind, we apply local polynomial integro-differential splines of the second and third order of approximation. To calculate the integral in the formulae of a piecewise quadratic integro-differential spline and piecewise linear integro-differential spline, we propose the corresponding quadrature formula. The results of the numerical experiments are given.
KW - Fredholm equation
KW - Polynomial integro-differential splines
KW - Polynomial splines
UR - http://www.scopus.com/inward/record.url?scp=85060591135&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85060591135
VL - 17
SP - 319
EP - 328
JO - WSEAS Transactions on Mathematics
JF - WSEAS Transactions on Mathematics
SN - 1109-2769
ER -