International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3471 2020 2020 Applying Block Method for the Numerical Solutions of the Second Order n-Refined Neutrosophic ODE for n=2, 3 Faculty of Computer Studies, Arab Open University, Saudi Arabia wael wael Faculty of Information Technology, Abu Dhabi University, Abu Dhabi, UAE wael mahmoud mohammad salameh Mathematics Department, Faculty of Science, Applied Science Private University (ASU) Amman, Jordan Sara A. Khalil Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, Jordan Ibraheem Abu Falahah The university of Jordan–Aqaba Department of computer information systems, Jordan Ahmed Atallah Alsaraireh 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 Abdallah Al Al-Husban 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 2025 240 249 10.54216/IJNS.250420 https://www.americaspg.com/articleinfo/21/show/3471