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The solutions of steady-state convection equations in the spaces that possess restoring nucleus

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Abstract

In this paper, in the space W 1 2 that possesses restoring nucleus, we obtain analytic solutions in the series form for the steady-state convection diffusion equation. The solutions have the following characteristics: (1) they are given in the accurate form: (2) they can be calculated in the explicit way, without solving the eguations: (3) the error of the approximate solution will be monotonically decreased under the meaning of the norm of the spaces when a cardinal term is added in the procedure of numerical solution. Finally, we calculated the example in [2], the result shows that our solution is more accurate than that in [2].

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References

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Authors and Affiliations

  1. Harbin University of Technology, Harbin

    Zhang Chi-ping & Cui Ming-gen

Authors
  1. Zhang Chi-ping
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  2. Cui Ming-gen
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Communicated by Wu Wang-yi

Project supported by the National Natural Science Foundation of China

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Chi-ping, Z., Ming-gen, C. The solutions of steady-state convection equations in the spaces that possess restoring nucleus. Appl Math Mech 15, 935–942 (1994). https://doi.org/10.1007/BF02451037

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  • DOI: https://doi.org/10.1007/BF02451037

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