| Yazarlar |
Godwin Amechi Okeke
Federal University of Technology, Owerri, Nigeria |
|
Akanimo Victor Udo
Federal University of Technology, Owerri, Nigeria |
|
Rubayyi T. Alqahtani
Al-Imam Muhammad Ibn Saud Islamic University, Saudi Arabia |
Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye |
|
W. Eltayeb Ahmed
Al-Imam Muhammad Ibn Saud Islamic University, Saudi Arabia |
| Özet |
| In this paper, we constructed a novel fixed point iterative scheme called the Modified-JK iterative scheme. This iteration process is a modification of the JK iterative scheme. Our scheme converged weakly to the fixed point of a nonexpansive mapping and strongly to the fixed point of a mapping satisfying condition (E). We provided some examples to show that the new scheme converges faster than some existing iterations. Stability and data dependence results were proved for this iteration process. To substantiate our results, we applied our results to solving delay differential equations. Furthermore, the newly introduced scheme was applied in approximating the solution of a class of third order boundary value problems (BVPs) by embedding Green’s functions. Moreover, some numerical examples were presented to support the application of our results to BVPs via Green’s function. Our results extended and generalized other existing results in literature. |
| Anahtar Kelimeler |
| boundary value problems | condition (E) | delay differential equations | fixed point | Garcia-Falset mapping | J-stability | Modified-JK iterative scheme | rate of convergence |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | AIMS Mathematics |
| Dergi ISSN | 2473-6988 |
| Dergi Grubu | Q1 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2024 |
| Cilt No | 9 |
| Sayı | 3 |
| Sayfalar | 6468 / 6498 |
| Doi Numarası | 10.3934/math.2024315 |
| Atıf Sayıları | |
| SCOPUS | 1 |
| Google Scholar | 1 |
