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Abstract <p>The paper discusses stationary and parabolic turning point problems with a variable diffusion coefficient and a small parameter. It constructs layer-eliminating coordinate transformations and corresponding layer-resolving grids, and analyzes convergence of numerical solutions through the upwind and second-order schemes on the layer-resolving grids.</p>

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Adaptive Grids and Numerical Algorithms for Solving Stationary and Non-Stationary Problems with a Variable Diffusion Coefficient, Small Parameter and Turning Point

  • 期刊论文

  • 发表日期：

    2026年4月1日

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  • V. D. Liseikin,
  • V. Gupta,
  • S. Karasuljić,
  • S. K. Sahoo

摘要

Abstract

The paper discusses stationary and parabolic turning point problems with a variable diffusion coefficient and a small parameter. It constructs layer-eliminating coordinate transformations and corresponding layer-resolving grids, and analyzes convergence of numerical solutions through the upwind and second-order schemes on the layer-resolving grids.