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International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
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Continuous publication

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Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

Volume 25Issue 4PP: 240-249 • 2025

Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3

Ahmad A. Abubaker 1* ,
wael mahmoud mohammad salameh 2 ,
Sara A. Khalil 3 ,
Ibraheem Abu Falahah 4 ,
Ahmed Atallah Alsaraireh 5 ,
Abdallah Al-Husban 6
1Faculty of Computer Studies, Arab Open University, Saudi Arabia
2Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE
3Mathematics Department, Faculty of Science, Applied Science Private University (ASU) Amman, Jordan
4Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan
5The university of Jordan–Aqaba Department of computer information systems, Jordan
6Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan
* Corresponding Author.
Received: July 11, 2024 Revised: October 06, 2024 Accepted: December 27, 2024

Abstract

In this paper, we study the applications of block method to find the numerical solutions of some neutrosophic differential problems, where we discuss the approximated n-refined neutrosophic solutions and absolute n-refined neutrosophic errors in two special cases for n=2, and n=3. In addition, we list the numerical tables of our results.

Keywords

Weak Fuzzy Complex (WFC) Numbers Weak Fuzzy Complex Functions Differential Equations (DE)

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Abubaker, Ahmad A., salameh, wael mahmoud mohammad, Khalil, Sara A., Falahah, Ibraheem Abu, Alsaraireh, Ahmed Atallah, Al-Husban, Abdallah. "Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, 2025, pp. 240-249. DOI: https://doi.org/10.54216/IJNS.250420
Abubaker, A., salameh, w., Khalil, S., Falahah, I., Alsaraireh, A., Al-Husban, A. (2025). Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3. International Journal of Neutrosophic Science, Volume 25(Issue 4), 240-249. DOI: https://doi.org/10.54216/IJNS.250420
Abubaker, Ahmad A., salameh, wael mahmoud mohammad, Khalil, Sara A., Falahah, Ibraheem Abu, Alsaraireh, Ahmed Atallah, Al-Husban, Abdallah. "Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3." International Journal of Neutrosophic Science Volume 25, no. Issue 4 (2025): 240-249. DOI: https://doi.org/10.54216/IJNS.250420
Abubaker, A., salameh, w., Khalil, S., Falahah, I., Alsaraireh, A., Al-Husban, A. (2025) 'Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3', International Journal of Neutrosophic Science, Volume 25(Issue 4), pp. 240-249. DOI: https://doi.org/10.54216/IJNS.250420
Abubaker A, salameh w, Khalil S, Falahah I, Alsaraireh A, Al-Husban A. Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 4):240-249. DOI: https://doi.org/10.54216/IJNS.250420
A. Abubaker, w. salameh, S. Khalil, I. Falahah, A. Alsaraireh, A. Al-Husban, "Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 4, pp. 240-249, 2025. DOI: https://doi.org/10.54216/IJNS.250420
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