Abstract.
This paper deals with the periodic solutions of the Cauchy problem to the Burgers-Hopf equation containing small viscosity term. We propose at first an explicit formula for the exact solution of the Cauchy problem and then we give an approximate formula. We use CNN approach for constructing the approximate solution and we find precise estimates of the remainder term.
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This work was supported by the NATO Grant ICS.NR.CLG 981757.
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Popivanov, P., Slavova, A. & Zecca, P. Periodic Solutions of the Burgers-Hopf Equation with Small Parameter and its Cellular Neural Network Model. MedJM 5, 1–19 (2008). https://doi.org/10.1007/s00009-008-0132-7
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DOI: https://doi.org/10.1007/s00009-008-0132-7