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a numerical scheme for solving nonlinear parabolic partial differential equations with piecewise constant arguments
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نویسنده
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esmailzadeh mojgan ,alavi javad ,saberi najafi hashem
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 1 - صفحه:783 -798
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چکیده
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This article deals with the nonlinear parabolic equation with piecewise continuous arguments (epca). this study, therefore, with the aid of the θ -methods, aims at presenting a numerical solution scheme for solving such types of equations which has applications in certain ecological studies. moreover, the convergence and stability of our proposed numerical method are investigated. finally, to support and confirm our theoretical results, some numerical examples are also presented.
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کلیدواژه
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partial differential equation with piecewise constant arguments (epca) ,θ-methods ,convergence ,trust-region-dogleg method
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آدرس
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islamic azad university, bandar anzali branch, iran, university of guilan, faculty of mathematical sciences, department of applied mathematics and computer science, iran, university of guilan, faculty of mathematical sciences, department of applied mathematics and computer science, iran
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پست الکترونیکی
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hnajafi@guilan.ac.ir
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Authors
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