Using finite difference method for solving linear two-point fuzzy boundary value problems based on extension principle

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

Keywords:

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