عنوان مجله
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Gazi University Journal of Science
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چکیده
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Parabolic equations in which advection-diffusion transports are coupled to reactions terms arise
in different science and engineering fields, including physical and biological systems. Usually, in
practical applications the unknowns are concentration of chemical compounds or population sizes
being positive also from their physical nature as well. Widely used schemes such as classical
finite difference may produce numerical drawbacks such as spurious oscillations and negative
values in the solution because of truncation errors and may then become unstable. By using the
nonstandard finite difference (NSFD) method, a better finite difference model is constructed. The
proposed NSFD scheme, guarantees the positivity of the solutions and returns spurious
oscillations free, solutions.
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