International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3415 2020 2020 Department of Mathematics, Faculty of Science, Jadara University, Irbid, Jordan Belal Belal In This paper, we develop the Runge-Kutta numerical method to be applied on neutrosophic problems of high orders, where we present generalized neutrosophic versions of Runge-Kutta methods of rank five, six and seven to use them in finding numerical solutions for some neutrosophic differential problems. In addition, we apply our generalized methods to some solid problems with many illustrated examples and numerical tables for comparing the results and the absolute errors. 2025 2025 593 600 10.54216/IJNS.250346 https://www.americaspg.com/articleinfo/21/show/3415