A numerical approximation for thesolution of a time-fractional telegraphequation based on the Crank–Nicolsonmethod
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نویسنده
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hajinezhad h. ,soheili a.r.
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منبع
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iranian journal of numerical analysis and optimization - 2022 - دوره : 12 - شماره : 3 - صفحه:607 -628
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چکیده
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In this paper, a two-dimensional time-fractional telegraph equation isconsidered with derivative in the sense of caputo and 1 < β < 2. the aimof this work is to extend the crank–nicolson method for this time-fractionaltelegraph equation. the stability and convergence of the numerical methodare investigated. also, the accuracy and efficiency of the proposed methodare demonstrated by numerical experiments.
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کلیدواژه
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Time-Fractional Telegraph Equation; Crank–Nicolson Method;Stability; Convergence
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آدرس
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payame noor university, department of mathematics, iran, ferdowsi university of mashhad, faculty of mathematical sciences, department of applied mathematics, Iran
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پست الکترونیکی
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soheili@um.ac.ir
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