Operator splitting for the KdV equation
نویسندگان
چکیده
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Korteweg–de Vries (KdV) equation ut−uux +uxxx = 0. We show that the Godunov and Strang splitting methods converge with the expected rates if the initial data are sufficiently regular.
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عنوان ژورنال:
- Math. Comput.
دوره 80 شماره
صفحات -
تاریخ انتشار 2011