Numerical solutions for linear system of first-order fuzzy differential equations with fuzzy constant coefficients

Authors:
Omid Solaymani Fard;Nima Ghal-Eh
Affiliations:
School of Mathematics and Computer Science, Damghan University, Damghan, Iran;School of Physics, Damghan University, Damghan, Iran
Venue:
Information Sciences: an International Journal
Year:
2011

Citing 31
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Abstract

In this paper, a novel iterative method is proposed to obtain approximate-analytical solutions for the linear systems of first-order fuzzy differential equations (FDEs) with fuzzy constant coefficients (FCCs) while avoiding the complexities of eigen-value computations. A theorem for the convergence and the validity of the approach is also presented in detail. Numerical experiments and comparisons with exact solutions reveal that the proposed method is capable of generating accurate results.