Scholarlink

<p>This study focusses to propose a semi-analytical solution of one-dimensional mathematical model for sediment distribution in suspension under non-equilibrium condition. Unlike most of the related existing works where traditional advection–diffusion equation (ADE) was considered, the present model incorporates the impact of non-locality (or time memory effect) through the time fractional advection–diffusion equation. The semi-analytical solution, which is based on Laplace and Fourier transform, is validated using a numerical solution, which is the first kind shifted Chebyshev collocation method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Semi-analytical solution of unsteady one-dimensional sediment transport model through time fractional ADE

  • 期刊论文

  • 发表日期：

    2025年1月27日

查看全文
  • Arun Kumar,
  • Sweta Narayan Sahu,
  • Koeli Ghoshal

摘要

This study focusses to propose a semi-analytical solution of one-dimensional mathematical model for sediment distribution in suspension under non-equilibrium condition. Unlike most of the related existing works where traditional advection–diffusion equation (ADE) was considered, the present model incorporates the impact of non-locality (or time memory effect) through the time fractional advection–diffusion equation. The semi-analytical solution, which is based on Laplace and Fourier transform, is validated using a numerical solution, which is the first kind shifted Chebyshev collocation method.