Numerical investigation for solving two-point fuzzy boundary value problems by reproducing kernel approach

In this paper, we implement a relatively recent analytical technique, called iterative reproducing kernel method (IRKM), to obtain a computational solution for fuzzy two-point boundary value problem based on a generalized differentiability concept. The technique methodology is based on construct a solution in the form of a rabidly convergent series with minimum size of calculations using symbolic computation software. The proposed technique is fully compatible with the complexity of such problem, while the obtained results are highly encouraging. Efficacious computational experiments are provided to guarantee the procedure and to illustrate the theoretical statements of the present method in order to show its potentiality, generality and superiority for solving such fuzzy equation.