Consider the rst-order equation ut +aux =0. (a) Solve it

Chapter 8, Problem 11

(choose chapter or problem)

Consider the rst-order equation ut +aux =0. (a) Solve it exactly with the initial condition u(x,0)= (x). (b) Write down the nite difference scheme which uses the forward difference for ut and the centered difference for ux. (c) For which values of x and t is the scheme stable?

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