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nsider the initial-value problem (IVP) for Burgers' equation for u(x,t): 84 8u ди +u at Ох € > 0, -<< < 0, Or2 u(x, 0) =
Posted: Thu May 12, 2022 6:30 am
by answerhappygod
- 1 (160.66 KiB) Viewed 29 times
nsider the initial-value problem (IVP) for Burgers' equation for u(x,t): 84 8u ди +u at Ох € > 0, -<< < 0, Or2 u(x, 0) = f(x). that by using the Cole-Hopf transformation, this IVP can be reduced to solving VP for the diffusion equation for v(x, t): 22u au at E -O < < 0, მr2 2 (11 v(x,0) = C exp Cexp { ze [ f(b)dx} ( 2