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an iterative method for numerically solving a class of linear volterra delay integral equations
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نویسنده
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tari abolfazl ,zyiaee fahimeh
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منبع
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mathematics interdisciplinary research - 2025 - دوره : 10 - شماره : 3 - صفحه:251 -265
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چکیده
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in this paper, a numerical method based on a recursive relation (sequence) is presented for numerically solving a class of linear volterra delay integral equations (vdies), where the recursive relation is obtained from the considered integral equation itself.for this purpose, first, using the banach fixed point theorem, the existence and uniqueness of the solution to the considered vdies are proven.it is also proven that the sequence mentioned above converges to the solution of the equation. then, by considering a finite number of terms of the said sequence, an approximation to the solution of the equation is obtained.finally, some numerical examples are given to verify the accuracy and efficiency of the proposed method.
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کلیدواژه
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delay integral equations، volterra، existence and uniqueness، converges، fixed point theorem
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آدرس
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shahed university, department of mathematics, iran, shahed university, department of mathematics, iran
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پست الکترونیکی
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fahimeh.ziyaee@yahoo.com
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Authors
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