For ut + aux = 0 (a) Write down an implicit difference method (backward Euler difference in both x and t directions) for solving this conservation law. (b) Draw a diagram of this method's stencil. (c) Use the Fourier method to discuss its stability.
For ut + aux = 0 (a) Write down an implicit difference method (backward Euler difference in both x and t directions) for solving this conservation law. (b) Draw a diagram of this method's stencil. (c) Use the Fourier method to discuss its stability.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 42E
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