Geodesic
Numerical Method for Solution of Fourth-order Volterra Integro-differential Equations by Green's Function
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 485

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

In this paper, we generalize Picard-Green's Embedded method for solving fourth-order Volterra integro-differential equations. We prove the existence and uniqueness theorems. Moreover, we illustrate some numerical examples to present the better approximation with a minimum error. We use MATLAB for numerical solutions.
Classification : 47H10, 47J05
Keywords: Fixed point iteration, Picard-Green's method, convergence rate, numerical approximation 
Fatma A. Akgun; Zaur Rasulov. Numerical Method for Solution of Fourth-order Volterra Integro-differential Equations by Green's Function. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 485 . http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a10/
@article{KJM_2025_49_3_a10,
     author = {Fatma A. Akgun and Zaur Rasulov},
     title = {Numerical {Method} for {Solution} of {Fourth-order} {Volterra} {Integro-differential} {Equations} by {Green's} {Function}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {485 },
     year = {2025},
     volume = {49},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a10/}
}
TY  - JOUR
AU  - Fatma A. Akgun
AU  - Zaur Rasulov
TI  - Numerical Method for Solution of Fourth-order Volterra Integro-differential Equations by Green's Function
JO  - Kragujevac Journal of Mathematics
PY  - 2025
SP  - 485 
VL  - 49
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a10/
LA  - en
ID  - KJM_2025_49_3_a10
ER  - 
%0 Journal Article
%A Fatma A. Akgun
%A Zaur Rasulov
%T Numerical Method for Solution of Fourth-order Volterra Integro-differential Equations by Green's Function
%J Kragujevac Journal of Mathematics
%D 2025
%P 485 
%V 49
%N 3
%U http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a10/
%G en
%F KJM_2025_49_3_a10