New iterative method for solving linear Fredholm fuzzy integral equations of the second kind
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نویسنده
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Jafarian A. ,Measoomy Nia S.
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منبع
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international journal of industrial mathematics - 2013 - دوره : 5 - شماره : 3 - صفحه:227 -236
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چکیده
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Fuzzy integral equations play major roles in various areas, therefore a new method for finding a solutionof the fredholm fuzzy integral equation is presented. this method converts the fuzzy integral equationinto linear system by using the taylor series. for this scope, first the taylor expansion of unknownfunction is substituted in parametric form of the given equation. then we differentiate both sides ofthe resulting integral equation and also approximate the taylor expansion by a suitable truncationlimit. this work yields a linear system in crisp case. now the solution of this system yields unknowntaylor coefficients of the solution functions. the proposed method is illustrated by several exampleswith computer simulations.
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کلیدواژه
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Fredholm fuzzy integral equations ,Taylor series ,Convergence analysis ,Approximat solutions
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آدرس
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