A second-order accurate numerical method for a fractional wave equation
نویسندگان
چکیده
We study a generalized Crank–Nicolson scheme for the time discretization of a fractional wave equation, in combination with a space discretization by linear finite elements. The schemeuses a non-uniformgrid in time to compensate for the singular behaviour of the exact solution at t = 0. With appropriate assumptions on the data and assuming that the spatial domain is convex or smooth, we show that the error is of order k2 + h2, where k and h are the parameters for the time and space meshes, respectively. Mathematics Subject Classification (2000) 26A33 · 45J05 · 65M12 · 65M15 · 65M60
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ورودعنوان ژورنال:
- Numerische Mathematik
دوره 105 شماره
صفحات -
تاریخ انتشار 2007