A novel iterative scheme for solving delay differential equations and third order boundary value problems via Green’s functions
Yazarlar (5)
Godwin Amechi Okeke Federal University Of Technology, Owerri, Nijerya
Akanimo Victor Udo Federal University Of Technology, Owerri, Nijerya
Rubayyi T. Alqahtani Imam Mohammad Ibn Saud Islamic University, Suudi Arabistan
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
W. Eltayeb Ahmed Imam Mohammad Ibn Saud Islamic University, Suudi Arabistan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Aims Mathematics (Q1) | ||
| Dergi ISSN | 2473-6988 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2024 |
| Cilt / Sayı / Sayfa | 9 / 3 / 6468–6498 | DOI | 10.3934/math.2024315 |
| Makale Linki | http://www.scopus.com/inward/record.url?eid=2-s2.0-85184167270&partnerID=MN8TOARS | ||
| UAK Araştırma Alanları |
Fen Bilimleri ve Matematik
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| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 5 |
| Scopus | 6 |
| Google Scholar | 8 |