Finite difference method to solve second order boundary value problem with real neutrosophic coefficients

The finite difference method is a widely used numerical technique for solving differential equations, particularly in boundary value problems (BVPs). However, traditional approaches often face challenges in addressing the uncertainties present in real-world scenarios. This paper introduces an innovative method that combines the finite difference technique with real neutrosophic numbers, providing a more comprehensive framework for managing uncertainties. Real neutrosophic numbers enabling a more flexible representation of uncertain conditions in BVPs. By employing this approach, solutions that better capture the inherent uncertainties are achieved, leading to more reliable and accurate outcomes. The abstract covers the theoretical foundation, implementation, and potential applications of the proposed method across various scientific and engineering domains.