IJPAM: Volume 107, No. 3 (2016)
BLOCK METHOD FOR SOLVING FUZZY
Institute for Mathematical Research
Universiti Putra Malaysia
43400 UPM Serdang, Selangor, MALAYSIA
Abstract. A fourth order diagonally implicit multistep block method is introduced to approximate the solution of fuzzy differential equations (FDEs). The problem is interpreted by using Seikkala's derivative. This method approximates two points simultaneously in a block along the interval. The Lagrange interpolating polynomial is applied in the formation of the formulas. The stability and convergence of this method at each computation points are given. Numerical solutions of this method are compared with the Runge-Kutta method of order four (RK(4)). The numerical results are given to highlight the performance of the proposed method when solving FDEs.
Received: February 3, 2016
AMS Subject Classification:
Key Words and Phrases: block method, fuzzy differential equations, lower triangular matrix
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DOI: 10.12732/ijpam.v107i3.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 635 - 660