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Abstract <p>This work investigates a problem for a fractional diffusion equation with nonclassical boundary conditions. A family of weighted difference schemes is studied for the considered problem. An algorithm for finding a numerical solution is provided. Using the maximum principle for the difference problem, an a priori estimate is derived, which implies the stability of the difference schemes and the convergence of the numerical solution to the exact solution in the <i>C</i>-norm.</p>

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On the Difference Solution of a Nonlocal Boundary Value Problem for a Fractional Diffusion Equation

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • A. K. Bazzaev

摘要

Abstract

This work investigates a problem for a fractional diffusion equation with nonclassical boundary conditions. A family of weighted difference schemes is studied for the considered problem. An algorithm for finding a numerical solution is provided. Using the maximum principle for the difference problem, an a priori estimate is derived, which implies the stability of the difference schemes and the convergence of the numerical solution to the exact solution in the C-norm.