📄 Peer-Reviewed Academic Output
Year: 2025
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A NEW ITERATIVE SCHEME FOR SOLVING DELAY DIFFERENTIAL EQUATION AND OXYGEN DIFFUSION PROBLEMS
Abstract & Summary
The purpose of this paper is to introduce a new five steps iterative algorithm for approximating the
solution of a delay differential equation and an oxygen diffusion problem. In addition, using our proposed iteration
process, we state and prove some convergence results for approximating the fixed points of generalized (α,β)
nonexpansive type I mapping. In addition, we show that our proposed iterative scheme converges faster than some
existing iterative schemes in the literature, data dependency, and stability results for our proposed iterative scheme
are established with an analytical and numerical example given to justify our claim. Lastly, we established that
the D-iterative scheme introduced by [8] and the AG-iterative scheme introduced by [21] have the same rate of
convergence.
solution of a delay differential equation and an oxygen diffusion problem. In addition, using our proposed iteration
process, we state and prove some convergence results for approximating the fixed points of generalized (α,β)
nonexpansive type I mapping. In addition, we show that our proposed iterative scheme converges faster than some
existing iterative schemes in the literature, data dependency, and stability results for our proposed iterative scheme
are established with an analytical and numerical example given to justify our claim. Lastly, we established that
the D-iterative scheme introduced by [8] and the AG-iterative scheme introduced by [21] have the same rate of
convergence.
Publication Details
| Principal Author | Dr. AKINDELE ADEBAYO MEBAWONDU (Senior Lecturer) |
|---|---|
| Journal / Venue | Advances and Fixed Point Theory |
| Publication Year | 2025 |
| Article Clicks / Reads | 1 readers clicked (View Article) |
| DOI (Digital Object Identifier) | https://doi.org/10.28919/afpt/9618 ISSN: 1927-6303 ↗ |
| Article / Publisher Link | https://doi.org/10.28919/afpt/9618 ISSN: 1927-6303 ↗ |
| Department | Computer Science and Mathematics |
| College / Faculty | College of Basic and Applied Sciences |
| Institution | Mountain Top University, Nigeria |
📋 APA 7th Edition Citation
ADEBAYO MEBAWONDU, A. (2025). A NEW ITERATIVE SCHEME FOR SOLVING DELAY DIFFERENTIAL EQUATION AND OXYGEN DIFFUSION PROBLEMS. Advances and Fixed Point Theory. https://doi.org/10.28919/afpt/9618 ISSN: 1927-6303