fuzzy differential equation

A fuzzy numerical solution of a one-dimensional steady-state heat conduction problem with a constant gradient

Fuzzy differential equations have been gaining popularity in recent years.  Traditional heat transfer models often rely on precise input parameters; however, real-world scenarios frequently involve uncertainty and imprecision.  With advancements in mathematical modeling, the heat transfer increasingly used to address real-world problems.  This paper presents a one-dimensional steady-state fuzzy heat transfer problem.  To solve this problem, the fuzzy Runge–Kutta Cash–Karp of the fourth–order method is employed, demonstrating its effectiveness.  The results are then comp