Approximate the solution u(x, t) = sin x os t to the problem described below. u...

 

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Approximate the solution u(x, t) = sin лx сos лt to the problem described below. ²u ²u at² əx²¹ u(0, t) = u(n, t) = 0, t > 0, ду u(x,0) = sinx, (x,0) = 0, 0≤x≤n. əx Use the Finite-Difference algorithm with a) h = b) h = = c) h= = 0<x<π, t> 0; and 1= 0.05 (Choose your own final time step: t = T = 0.5 maybe do.) 10 TL and 1= 0.1(Choose your own final time step: t = T = 0.5 maybe do.) 20 TL and 1= 0.05(Choose your own final time step: t = T = 0.5 maybe do.) 20 Compare your results to the actual solution u(x, t) = sin лx cost at a) t = 0.5 TL b) x == 2 Approximate the solution u(x, t) = sin лx сos лt to the problem described below. ²u ²u at² əx²¹ u(0, t) = u(n, t) = 0, t > 0, ду u(x,0) = sinx, (x,0) = 0, 0≤x≤n. əx Use the Finite-Difference algorithm with a) h = b) h = = c) h= = 0<x<π, t> 0; and 1= 0.05 (Choose your own final time step: t = T = 0.5 maybe do.) 10 TL and 1= 0.1(Choose your own final time step: t = T = 0.5 maybe do.) 20 TL and 1= 0.05(Choose your own final time step: t = T = 0.5 maybe do.) 20 Compare your results to the actual solution u(x, t) = sin лx cost at a) t = 0.5 TL b) x == 2

Answer rating: 100% (QA)

a h and 005 Choose your own final time step t T 05 maybe do a h 01 and k 005 t 005 ux005 sin01xcos005t t 01 ux01 sin01xcos01t t 015 ux015 sin01xcos015... View the full answer