抛物线-双曲面耦合传输问题的两步数值方法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2024-11-20 DOI:10.1016/j.camwa.2024.11.015

Ihor Borachok , Roman Chapko , Leonidas Mindrinos

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引用次数: 0

摘要

在本研究中，我们提出了两种不同的两步法，用于求解热方程和波方程的组合系统。我们的重点是二维传输问题，主要目标是对温度和压力的分布进行数值表征。首先，我们使用拉盖尔变换对时间进行半离散化。这将导致一系列椭圆问题，并通过边界积分方程法或基本序列法进行完全离散化。所介绍的数值示例证明了这两种方案的适用性和效率。

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Two-step numerical methods for a coupled parabolic-hyperbolic transmission problem

In this study, we propose two different approaches of a two-step method for solving a system combining the heat and the wave equations. Our focus centers on the transmission problem in two dimensions, with a primary objective of numerically characterizing the distribution of temperature and pressure. First we apply a semi-discretization with respect to time by using the Laguerre transformation. This leads to a sequence of elliptic problems that are fully discretized either by the boundary integral equation method or by the fundamental sequences method. The presented numerical examples justify the applicability and efficiency of both schemes.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).