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the method based on quintic b-spline functions for addressing time-fractional advection-dispersion equations
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نویسنده
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adel mohamed ,abdi-mazraeh somayieh ,zaki golamreza ,irandoust-pakchin safar
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منبع
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journal of mathematical modeling - 2026 - دوره : 14 - شماره : 2 - صفحه:533 -556
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چکیده
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This paper introduces a numerical method designed to address the fractional time advection-dispersion equation. initially, the time dimension is discretized by employing the l1 method. subsequently, quintic b-spline functions are utilized for the discretization of the spatial dimension. this approach yields a system of algebraic equations that can be efficiently solved. the proposed method is proven to be unconditionally stable. numerical experiments provide compelling evidence of the method's efficiency and effectiveness
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کلیدواژه
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advection-dispersion equation; caputo fractional derivative; quintic b-spline functions
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آدرس
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islamic university of madinah, faculty of science, department of mathematics, saudia arabia, university of tabriz, faculty of mathematics, statistics and computer sciences, department of applied mathematics, iran, university of tabriz, faculty of mathematics, statistics and computer sciences, department of applied mathematics, iran, university of tabriz, faculty of mathematics, statistics and computer sciences, department of applied mathematics, iran
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پست الکترونیکی
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s.irandoust@tabrizu.ac.ir
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Authors
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