An Efficient Method for Solving Second-Order Fuzzy Order Fuzzy Initial Value Problems

In this paper, we present an accurate numerical approach based on the reproducing kernel method (RKM) for solving second-order fuzzy initial value problems (FIVP) with symmetry coefficients such as symmetric triangles and trapezoids. Finding exact solution of FIVP is not easy task since definition will produce a complicated optimization problem. To overcome difficulty, developed to solve type problems. We start by introducing necessary definitions theorems about logic. Then, derived kernels two Hilbert spaces. The RKM IVP in Boolean sense, then generalize it sense. Numerical theoretical results be given obtain accuracy technique. solved four linear non-linear IVPs numerically using proposed method, compute error each case show efficiency method. absolute was very small examples.