NEW ITERATIVE METHOD FOR SOLVING LINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND

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JAFARIAN A.; MEASOOMY NIA S.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:3 Page(s): 227-236

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Information Journal Paper

Title

NEW ITERATIVE METHOD FOR SOLVING LINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND

Author(s)

JAFARIAN A. | MEASOOMY NIA S. | Issue Writer Certificate

Keywords

FREDHOLM FUZZY INTEGRAL EQUATIONSQ2

TAYLOR SERIESQ2

CONVERGENCE ANALYSISQ2

APPROXIMATE SOLUTIONSQ2

Abstract

Fuzzy integral equations play major roles in various areas, therefore a new method for finding a solution of the Fredholm fuzzy integral equation is presented. This method converts the fuzzy integral equation into linear system by using the TAYLOR SERIES. For this scope, first the Taylor expansion of unknown function is substituted in parametric form of the given equation. Then we differentiate both sides of the resulting integral equation and also approximate the Taylor expansion by a suitable truncation limit. This work yields a linear system in crisp case. Now the solution of this system yields unknown Taylor coefficients of the solution functions. The proposed method is illustrated by several examples with computer simulations.

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APA: Copy

JAFARIAN, A., & MEASOOMY NIA, S.. (2013). NEW ITERATIVE METHOD FOR SOLVING LINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(3), 227-236. SID. https://sid.ir/paper/231736/en

Vancouver: Copy

JAFARIAN A., MEASOOMY NIA S.. NEW ITERATIVE METHOD FOR SOLVING LINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(3):227-236. Available from: https://sid.ir/paper/231736/en

IEEE: Copy

A. JAFARIAN, and S. MEASOOMY NIA, “NEW ITERATIVE METHOD FOR SOLVING LINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 3, pp. 227–236, 2013, [Online]. Available: https://sid.ir/paper/231736/en

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