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A difference method for singular perturbation problem of hyperbolic-parabolic partial differential equation

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Abstract

In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation. Not only do we take a fitting factor in the equation, but also we put one in the approximation of second initial condition. By means of the asymptotic solution of singular perturbation problem we proved the uniform convergence of this scheme with respect to the small parameter.

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Authors and Affiliations

  1. Nanjing University, Nanjing

    Sheng Jin-reng

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  1. Sheng Jin-reng
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Communicated by Su Yu-cheng

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Jin-reng, S. A difference method for singular perturbation problem of hyperbolic-parabolic partial differential equation. Appl Math Mech 7, 161–169 (1986). https://doi.org/10.1007/BF01897059

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  • DOI: https://doi.org/10.1007/BF01897059

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