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a numerical solution of variable order diffusion and wave equations
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نویسنده
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kadkhoda nematollah ,jafari hossein ,moallem ganji roghayeh
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منبع
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international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 1 - صفحه:27 -36
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چکیده
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In this work, we consider variable order diffusion and wave equations. the derivative is described in the caputo sense of variable order. we use the genocchi polynomials as basic functions and obtain operational matrices via these polynomials. these matrices and collocation method help us to convert variable order diffusion and wave equations to an algebraic system. some examples are given to show the validity of the presented method.
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کلیدواژه
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variable order diffusion and wave equations ,genocchi polynomials ,operational matrix ,collocation method
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آدرس
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bozorgmehr university of qaenat, faculty of basic sciences, department of mathematics, iran, university of mazandaran, department of mathematics, iran. university of south africa, department of mathematical sciences, south africa, university of mazandaran, department of mathematics, iran
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Authors
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