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- 15.3 Apply von Neumann stability to CTBS for the linear advection equation. (a) Show that G = -z Vz2 + 1, where z = ha
Posted: Sun Apr 17, 2022 3:48 pm
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- 15 3 Apply Von Neumann Stability To Ctbs For The Linear Advection Equation A Show That G Z Vz2 1 Where Z Ha 1 (56.52 KiB) Viewed 30 times
- 15.3 Apply von Neumann stability to CTBS for the linear advection equation. (a) Show that G = -z Vz2 + 1, where z = ha(l - e-16). Hint: The quadratic formula applies to complex numbers. (b) Based on the results of part (a), show that CTBS is unconditionally linearly unstable. As a hint, multiply the two
solutions found in part (a). Use this product to show that one of the two
solutions found in part (a) is always greater than or equal to one, while the other is always less than or equal to one.