Abstract
We obtain a bound for the error in the numerical integration of the quasilinear equation ut+(ϕ(u))x=0 by a finite difference method in the case when ϕ″(u)≥0.
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Translated from Matematicheskie Zametki, Vol. 12, No. 2, pp. 207–215, February, 1973.
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Razumeiko, R.V. A bound for the error in the numerical integration of a first order quasilinear equation. Mathematical Notes of the Academy of Sciences of the USSR 13, 124–129 (1973). https://doi.org/10.1007/BF01094229
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DOI: https://doi.org/10.1007/BF01094229