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 June 10th, 2012, 06:18 PM #1 Member   Joined: Feb 2011 Posts: 40 Thanks: 0 Show the scheme is inconsistent Scheme for $u_t= u_{xx}$: $u_j^{n+1}= (1-2\alpha - 2\beta)u_j^n + \alpha(u_{j+1}^n + u_{j-1}^n) + \beta(u_{j+2}^n + u_{j-2}^n)$ Denote $\mu= \Delta t/(\Delta x)^2$. Show that when $\mu$ is a constant, that the scheme is inconsistent unless $\alpha + 4\beta= \mu$ Show that the scheme is four-order accurate in x if $\beta= -\alpha/16$

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