The Adomian decomposition method for fuzzy system of linear equations. (English) Zbl 1069.65025

Summary: The application of the Adomian method for solving fuzzy system of linear equations (FSLE) is considered. For an FSLE the author has shown that the Adomian decomposition method is equivalent to the Jacobi iterative method [Appl. Math. Comput. 155, No. 2, 493–502 (2004; Zbl 1067.65040)]. The algorithm is illustrated by solving some numerical examples.


65F10 Iterative numerical methods for linear systems
08A72 Fuzzy algebraic structures


Zbl 1067.65040
Full Text: DOI


[1] Friedman, M.; Ming, M.; Kandel, A., Fuzzy linear systems, FSS, 96, 201-209 (1998) · Zbl 0929.15004
[3] Adomian, G., Nonlinear Stochastic Systems Theory and Applications to Physics (1989), Kluwer: Kluwer Dordrecht, Holland · Zbl 0659.93003
[4] Adomian, G., Solving Frontier Problems of Physics: The Decomposition Method (1994), Kluwer · Zbl 0802.65122
[5] Abbaoui, K.; Cherruault, Y., Convergence of Adomian’s method applied to differential equations, Math. Comput. Modeling, 28, 5, 103-110 (1994) · Zbl 0809.65073
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.