APPLYING FUZZY WAVELET LIKE OPERATOR TO THE NUMERICAL SOLUTION OF LINEAR FUZZY FREDHOLM INTEGRAL EQUATIONS AND ERROR ‎ANALYSIS

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MOKHTARNEJAD F.; EZZATI R.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2015 | Volume:7 | Issue:3 Page(s): 219-229

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Title

APPLYING FUZZY WAVELET LIKE OPERATOR TO THE NUMERICAL SOLUTION OF LINEAR FUZZY FREDHOLM INTEGRAL EQUATIONS AND ERROR ‎ANALYSIS

Author(s)

MOKHTARNEJAD F. | EZZATI R. | Issue Writer Certificate

Keywords

FUZZY FREDHOLM INTEGRAL EQUATIONQ2

FUZZY WAVELET LIKE OPERATORQ2

SUCCESSIVE APPROXIMATION ‎METHODQ2

Abstract

In this paper, we propose a successive approximation method based on FUZZY WAVELET LIKE OPERATOR to approximate the solution of linear FUZZY FREDHOLM INTEGRAL EQUATIONs of the second kind with arbitrary kernels. We give the convergence conditions and an error estimate. Also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration. Finally, to show the efficiency of the proposed method, we present some test problems, for which the exact solutions are ‎known.‎

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APA: Copy

MOKHTARNEJAD, F., & EZZATI, R.. (2015). APPLYING FUZZY WAVELET LIKE OPERATOR TO THE NUMERICAL SOLUTION OF LINEAR FUZZY FREDHOLM INTEGRAL EQUATIONS AND ERROR ‎ANALYSIS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(3), 219-229. SID. https://sid.ir/paper/231766/en

Vancouver: Copy

MOKHTARNEJAD F., EZZATI R.. APPLYING FUZZY WAVELET LIKE OPERATOR TO THE NUMERICAL SOLUTION OF LINEAR FUZZY FREDHOLM INTEGRAL EQUATIONS AND ERROR ‎ANALYSIS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2015;7(3):219-229. Available from: https://sid.ir/paper/231766/en

IEEE: Copy

F. MOKHTARNEJAD, and R. EZZATI, “APPLYING FUZZY WAVELET LIKE OPERATOR TO THE NUMERICAL SOLUTION OF LINEAR FUZZY FREDHOLM INTEGRAL EQUATIONS AND ERROR ‎ANALYSIS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 7, no. 3, pp. 219–229, 2015, [Online]. Available: https://sid.ir/paper/231766/en

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