A splitting method for the augmented Burgers equation
classification
🧮 math.NA
cs.NA
keywords
burgersequationaugmentedfirstmethodprovesolutionssplitting
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In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated solution by obtaining the first term in the asymptotic expansion. We prove that, when time increases, these solutions behave as the self-similar solutions of the viscous Burgers equation
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