Seyed Majid Alavi - Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran

In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bound of r- level of fuzzy boundary values. The proposed approach gives a linear system with crisp tridiagonal coefficients matrix. This linear system determines r-level of fuzzy solution at mesh points. By combining of this solutions, we obtain fuzzy solution of main problem at mesh points, approximately. Its applicabilityis illustrated by someexamples

fuzzy differential equation, Zadeh's extension Principle, Finite difference, fuzzy number, Fuzzy boundary value problems