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Increasing the Accuracy of the Difference Scheme Using the Richardson Extrapolation Based on the Movable Node Method

Author

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  • Umurdin Dalabaev

    (Department of Mathematic modeling and Information Systems, Faculty of International economics and management, University of World Economy and Diplomacy, Tashkent, Uzbekistan)

Abstract

A one-dimensional convective-diffusion problem is considered. To improve the quality of difference schemes, the method of moving nodes is used in combination with Richardson interpolation. Approximate analytical solutions and improved schemes are obtained. Numerical experiments carried out.

Suggested Citation

  • Umurdin Dalabaev, 2020. "Increasing the Accuracy of the Difference Scheme Using the Richardson Extrapolation Based on the Movable Node Method," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 6(8), pages 204-212, 10-2020.
    • Handle: RePEc:arp:ajoams:2020:p:204-212
    DOI: 10.32861/ajams.68.204.212
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    References listed on IDEAS

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    1. A. R. Appadu, 2013. "Numerical Solution of the 1D Advection-Diffusion Equation Using Standard and Nonstandard Finite Difference Schemes," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-14, March.
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