Unformatted text preview: (d) Can one obtain a larger interval of absolute stability by relaxing the restriction on accuracy (e.g., accepting ﬁrst order accuracy)? Justify your answer. 3. Consider the equation u tt = u xx to be solved for ≤ x ≤ 1 , t > with initial data u ( x, 0) = u ( x ) u t ( x, 0) = u 1 ( x ) where u ,u 1 are smooth and vanishing near x = 0, x = 1. (a) Give boundary conditions at x = 0 and x = 1 to make this a wellposed problem. (b) Give a stable, convergent numerical approximation to this initial boundary value problem. 1...
View
Full Document
 Spring '11
 NA
 Numerical Analysis, Boundary value problem, boundary value, utt, Dirichlet boundary conditions

Click to edit the document details