عنوان مجله
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International Journal of Nonlinear Science
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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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