A semianalytical method for fuzzy integro-differential equations under generalized Seikkala derivative

In this article, a semianalytical numerical method has been presented to solve fuzzy integro-differential equation which may be linear or nonlinear under multi-point or mixed boundary conditions. A convergence analysis of the proposed method has been studied to emphasize its reliability in general. In order to show the effectiveness of this method, some illustrative examples are given. We have shown that with a small number of obtained approximating terms, we achieve a high accuracy level of the obtained results. Comparisons have been made between the solutions of our method and some existing methods. Moreover, proper graphs are provided to show that increasing the number of approximating terms yields a significant decrease in the error of the approximate solution.