Abstract
The initial-boundary-value problem on the semi-infinite interval and on a finite interval for the Burgers equation ut=uxx+2uxu is solved using a stream function ∅ and a linearizing transformation w=e∅. The transformation reduces the equation to a heat equation with appropriate initial and homogeneous time-dependent linear boundary conditions. One advantage of this method is that we never need to find an explicit expression for ∅ in our computations.
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