Development of Basic Science Computational Applications of Variational Iteration Method for High-Order Fuzzy Differential Equations

This paper investigates the computational performance of the Variational Iteration Method (VIM) for solving high-order fuzzy differential equations. Three benchmark initial value problems of orders two, four, and six are considered in order to evaluate the numerical fuzzy solution is represented in parametric form and compared with the corresponding exact solution. The numerical results show that the VIM approximations converge rapidly to the exact fuzzy solutions and that the approximation error decreases significantly as the iteration number increases. The computations are implemented in MATLAB and the accuracy of the method is illustrated through Hausdorff error tables. The results indicate that VIM provides an efficient semi-analytical approach for solving smooth high-order fuzzy differential equations.

کلیدواژه ها:

Variational iteration method ، fuzzy differential equations ، high-order systems ، numerical approximation ، error analysis ، MATLAB