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

Theory of Approximation and Applications

مقاله 1، دوره 14، شماره 2، اسفند 2020، صفحه 1-11   

نوع مقاله: Research Articles

نویسنده

Seyed Majid Alavi^*

Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran

چکیده

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 applicability
is illustrated by some
examples

کلیدواژه‌ها

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