Numerical solution of fuzzy differential equations using orthogonal polynomials. (2019)

• Record Type: Journal Article
• Authors: Tapaswini, Smita; Chakraverty, Snehashish
• Is Part Of: International journal of computing science and mathematics. Volume 10:Number 1(2019)
• Page Start: 32
• Page End: 45
• Publication Date: 2019
• Subjects: fuzzy number -- triangular fuzzy number -- Legendre polynomial -- Chebyshev polynomial -- nth order fuzzy differential equations; Mathematics -- Periodicals; Computer science -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.285
• Languages: English
• ISSNs: 1752-5055

Abstract

The present paper proposed a new method to solve n th order fuzzy differential equations using collocation type of method. In the solution procedure, Gram Schmidt orthogonalisation process is used with Legendre and Chebyshev polynomials. Known example problems are solved and compared with the exact results to illustrate the efficiency and reliability of the proposed method.