International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3958 2020 2020 Department of Mathematics, faculty of science, University of Jordan, Amman 11942, Jordan Isra Isra Faculty of Computer Studies, Arab Open University, Saudi Arabia Ahmad A. Abubaker Mathematics Department, Faculty of Science, Applied Science Private University (ASU) Amman, Jordan Sara A. Khalil Department of Mathematics, College of Science, King Saud University, Box 22452 Riyadh 11495, Saudi Arabia Maha Alammari Department of Bioengineering, Al-Andalus Private University for Medical Sciences, Syria Mohamed Soueycatt 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 present some results about the neutrosophic-generalized version of finite-difference method, where we prove its essential properties, and we apply it to many different examples to clarify the validity of our work. In addition, some numerical tables related to the results will be clarified and presented. 2026 2026 36 42 10.54216/IJNS.270104 https://www.americaspg.com/articleinfo/21/show/3958