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عنوان
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An Explicit Positivity-preserving Finite Difference Scheme for Advection-diffusion Reaction Equations
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Parabolic equations; Nonstandard finite differences; Positivity preserving
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چکیده
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In this paper, we introduce a family of explicit finite difference schemes based on a nonstandard dicretization rules to approximate positive solutions of parabolic equations which include advection, diffu- sion and reaction terms. It is shown that the proposed numerical schemes preserve the positivity as well as stability and consistency. We give two examples from different applications.
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پژوهشگران
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رضا شکری (نفر دوم)، محمد مهدی زاده خالسرایی (نفر اول)
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