SOLUTION OF FUZZY INITIAL VALUE PROBLEMS USING LEAST SQUARE METHOD AND ADOMAIN DECOMPOSITION METHOD
DOI:
https://doi.org/10.31642/JoKMC/2018/010406Keywords:
decomposition method, fuzzyAbstract
In this paper, we will study the numerical solution of fuzzy initial value problems using two methods, namely, the least square method and the Adomain decomposition method. Also, comparison between the obtained results is made, as well as with the crisp solution, when the
a-level equals one. Â
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References
Al-Ani E. M., “The Numerical Solution of
Fuzzy Differential Equation by Using Linear
Multistep Methods”, M.Sc. Thesis College of
Science, Al-Nahrain University, 2005.
Kandel A., “Fuzzy Mathematical Techniques
with Applications”, Addison Wesley
Publishing Company, Inc., 1986.
Lesnic D., "Convergence of Adomian's
Method: Periodic Temperatures", Comput.
Math. Appl., 44, 13, 24, 2002.
Pearson, D. W., “A Property of Linear Fuzzy
Differential Equations”, Appl. Math. Lett.,
Vol.10, No.3, pp.99-103, 1997. DOI: https://doi.org/10.1002/lipi.19970990312
Wuhaib, S. A., "About Fuzzy Mapping and
Solution of Fuzzy Ordinary Differential
Equations", M.Sc. Thesis, College of Science,
Al-Mustansiryah University, 2005.
Zadeh L. A., “Fuzzy Sets”, Information and
Control, Vol.8, 338- 353, 1965. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X
Zimmerman, H. J., "Fuzzy Set Theory and its
Applications", Kluwer-Nijhcff Publishing,
USA, 1985.
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Copyright (c) 2014 Mohammed Ali Ahmed, Fadhel Subhi Fadhel
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