用边界积分方程分析二维传热问题

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Mathematical Physics Pub Date : 2022-11-14 DOI:10.1155/2022/1889774

Nimona Ketema Kebeba, Gizaw Debito Haifo

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引用次数: 0

摘要

在本文中，我们研究了考虑某些初始条件和边界条件的二维热方程的问题。在二维热传输问题中，应用了边界积分方程技术。这个问题用格林恒等式的基本解表示为一个积分方程。在本研究中，我们将稳态传热问题的边值问题转化为边界积分方程，并利用格林恒等式和基本解，利用混合边值问题的边界积分方程来驱动二维传热问题的求解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation

In this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied. The problem is expressed by an integral equation using the fundamental solution in Green’s identity. In this study, we transform the boundary value problem for the steady-state heat transfer problem into a boundary integral equation and drive the solution of the two-dimensional heat transfer problem using the boundary integral equation for the mixed boundary value problem by using Green’s identity and fundamental solution.

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.