Scholarlink

Abstract <p>The variational formulations for the wave operator and heat conductivity equations within the framework of the discrete potential theory are considered. The grid solutions of finite-difference analogs of equations in partial derivatives make it possible to restore the sources of waves and heat in various media based on inhomogeneous data of different accuracy on the corresponding physical fields. The boundary problems in a 3D-grid with Dirichlet and Neumann conditions are considered.</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

Variational Formulations for Wave and Heat Conductivity Equations within the Framework of Discrete Potential Theory

  • 期刊论文

  • 发表日期：

    2025年4月15日

查看全文
  • I. E. Stepanova,
  • I. I. Kolotov

摘要

Abstract

The variational formulations for the wave operator and heat conductivity equations within the framework of the discrete potential theory are considered. The grid solutions of finite-difference analogs of equations in partial derivatives make it possible to restore the sources of waves and heat in various media based on inhomogeneous data of different accuracy on the corresponding physical fields. The boundary problems in a 3D-grid with Dirichlet and Neumann conditions are considered.