aspg-21-3471-1791475483 20261008160443 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 4 Ahmad A. Abubaker Faculty of Computer Studies, Arab Open University, Saudi Arabia wael mahmoud mohammad salameh Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE Sara A. Khalil Mathematics Department, Faculty of Science, Applied Science Private University (ASU) Amman, Jordan Ibraheem Abu Falahah Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan Ahmed Atallah Alsaraireh The university of Jordan–Aqaba Department of computer information systems, Jordan Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan; Jadara Research Center, Jadara University, Irbid 21110, Jordan 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. 2025 240 249 3471 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250420 https://www.americaspg.com/journal/21/article/3471 https://www.americaspg.com/storage/81736514597.pdf