复杂传热准线性方程的初始边界值问题分析与数值模拟

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI:10.1134/S1990478923040026

A. Yu. Chebotarev, N. M. Pak, A. E. Kovtanyuk

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引用次数: 0

摘要

摘要我们考虑了模拟静脉内激光烧蚀过程的复杂热传递准线性方程的初始边界值问题。获得了解的先验估计。介绍了问题的全局唯一可解性结果。提出了一种寻找初始边界值问题解的算法。通过数值示例说明了该算法的效率。评估了内部热辐射对温度场行为的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Analysis and Numerical Simulation of the Initial–Boundary Value Problem for Quasilinear Equations of Complex Heat Transfer

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Analysis and Numerical Simulation of the Initial–Boundary Value Problem for Quasilinear Equations of Complex Heat Transfer

We consider an initial–boundary value problem for quasilinear equations of complex heat transfer that model the process of endovenous laser ablation. A priori estimates for the solution are obtained. Results on the global unique solvability of the problem are presented. An algorithm for finding a solution of the initial–boundary value problem is proposed. The efficiency of the algorithm is illustrated by numerical examples. The influence of internal thermal radiation on the behavior of temperature fields is evaluated.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.