Geodesic
Optimal quadrature rules for numerical solution of the nonlinear Fredholm integral equations
Filomat, Tome 36 (2022) no. 11, p. 3827

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, an iterative method of successive approximations to the approximate solution of nonlinear Hammerstein-Fredholm integral equations using an optimal quadrature formula for classes of functions of Lipschitz types is provided. Also, the convergence analysis and numerical stability of the proposed method are proved. Finally, some numerical examples verify the theoretical results and show the accuracy of the method.
DOI : 10.2298/FIL2211827K
Classification : 47H09, 47H10
Keywords: Iterative method, Optimal quadrature, Lipschitz condition, Successive approximations 
Manochehr Kazemi; Mohammad Reza Doostdar. Optimal quadrature rules for numerical solution of the nonlinear Fredholm integral equations. Filomat, Tome 36 (2022) no. 11, p. 3827 . doi: 10.2298/FIL2211827K
@article{10_2298_FIL2211827K,
     author = {Manochehr Kazemi and Mohammad Reza Doostdar},
     title = {Optimal quadrature rules for numerical solution of the nonlinear {Fredholm} integral equations},
     journal = {Filomat},
     pages = {3827 },
     year = {2022},
     volume = {36},
     number = {11},
     doi = {10.2298/FIL2211827K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2211827K/}
}
TY  - JOUR
AU  - Manochehr Kazemi
AU  - Mohammad Reza Doostdar
TI  - Optimal quadrature rules for numerical solution of the nonlinear Fredholm integral equations
JO  - Filomat
PY  - 2022
SP  - 3827 
VL  - 36
IS  - 11
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2211827K/
DO  - 10.2298/FIL2211827K
LA  - en
ID  - 10_2298_FIL2211827K
ER  - 
%0 Journal Article
%A Manochehr Kazemi
%A Mohammad Reza Doostdar
%T Optimal quadrature rules for numerical solution of the nonlinear Fredholm integral equations
%J Filomat
%D 2022
%P 3827 
%V 36
%N 11
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2211827K/
%R 10.2298/FIL2211827K
%G en
%F 10_2298_FIL2211827K

Cité par Sources :