Reproducing Kernel Method with Global Derivative-Reference-Cited by-同舟云学术

Reproducing Kernel Method with Global Derivative

Published:2023-05-19 Issue: Volume:2023 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Attia Nourhane¹^ORCID,Akgül Ali²³⁴^ORCID,Atangana Abdon⁵⁶^ORCID

Affiliation:

1. National High School for Marine Sciences and Coastal (ENSSMAL), Dely Ibrahim University Campus, Bois des Cars, B.P. 19, 16320, Algiers, Algeria

2. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

3. Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey

4. Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey

5. Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa

6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

Ordinary differential equations describe several phenomena in different fields of engineering and physics. Our aim is to use the reproducing kernel Hilbert space method (RKHSM) to find a solution to some ordinary differential equations (ODEs) that are described by using the global derivative. In this research, we used the RKHSM to construct new numerical solutions for nonlinear ODEs with global derivative. The used method systematically produces analytic and approximate solutions in the series’s form. We tested three applications for showing the performance of the RKHSM.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2023/2726735.pdf

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