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Discretizing a system of parabolic nonlinear equations with a discontinuous solution

  • Numerical Methods of Solution of Equations
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Abstract

A new initial— boundary-value problem is posed for a system of two nonlinear parabolic equations with convective transport terms that allow a discontinuity in the solution. Discretization on classes of discontinuous functions is proposed.

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References

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Authors and Affiliations

  1. Institute of Cybernetics of the Ukrainian Academy of Sciences, Ukraine

    V. S. Deineka

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  1. V. S. Deineka
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 73, pp. 33–42, 1992.

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Deineka, V.S. Discretizing a system of parabolic nonlinear equations with a discontinuous solution. J Math Sci 71, 2650–2657 (1994). https://doi.org/10.1007/BF02114039

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  • DOI: https://doi.org/10.1007/BF02114039

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