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Physics, 24.06.2019 04:10 tatilynnsoto17

Consider the equation ut + bux = au; u(x; 0) = u0(x): (a) write down the exact solution to this problem. (b) show that the method un+1 i = bt x (un i un ) + (1 + ta)un i is of rst order accuracy for this equation. (c) show that the method in part (b) is stable under a suitable condition, and give this stability condition

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Consider the equation ut + bux = au; u(x; 0) = u0(x): (a) write down the exact solution to this p...
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