Convergence for a family of discrete advection-reaction operators
نویسندگان
چکیده
We define a family of discrete Advection-reaction operators, denoted by Aaλ, which associate to a given scalar sequence s = {sn} the sequence given by Aaλ(s) ≡ {bn}, where bn = an−2sn−1 + λnsn for n = 1, 2, . . .. For Aaλ we explicitly find their iterates and study their convergence properties. Finally, we show the relationship between the family of discrete operators with the continuous one dimensional advection-reaction equation.
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 59 شماره
صفحات -
تاریخ انتشار 2010