aspg-21-3417-1791475396 20261008160316 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 25 4 Belal Batiha Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan In this paper, we present a numerical approach to the seventh rank refined neutrosophic Runge-Kutta numerical method, where we provide the theoretical basis of this formula to be applicable on refined neutrosophic differential equations. In addition, we provide numerical tables to compare the validity of this new method with other methods, as well as a clear computation of absolute errors in terms of refined neutrosophic numbers. 2025 10 17 3417 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.250402 https://www.americaspg.com/journal/21/article/3417 https://www.americaspg.com/storage/31738082999.pdf