Neutrosophic Sets and Systems
Abstract
This study explores the solution of first-order differential equations (����) using trapezoidal neutrosophic numbers (����������������������) as initial conditions. It examines various forms of ���������������������� based on the dependencies of truth (��), indeterminacy (��), and falsity (��). The application first order DE is illustrated through heat conduction problems in fluids. The temperature distribution ��1(��,��), � �2(��,��), ��1′(��, ��), ��1′′(��, ��), ��2 ′(��, ��) and ��2 ′′(��, ��) are analyzed through tables and graphs. A solution procedure for the system of first-order ODEs is developed and demonstrated with numerical examples.
Recommended Citation
Broumi, Said; M. Shanmugapriya; and R. Sundareswaran. "A Neutrosophic Approach to Solving First-Order Differential Equations: Applications to Heat Convection with Uncertain Initial Conditions." Neutrosophic Sets and Systems 79, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol79/iss1/24
