时谐抛物问题的自由参数交替三角分裂迭代法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-01 DOI:10.1016/j.aml.2024.109429

Chengliang Li, Jiashang Zhu, Changfeng Ma

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引用次数: 0

摘要

基于三角分裂技术，提出了一种求解块二乘二线性系统的自由参数交替三角分裂（FPATS）方法，并将其应用于时谐抛物模型。此外，我们还证明了FPATS方法是无条件收敛的，并且优于其他方法。数值结果表明了该方法的实用性和有效性。

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A free-parameter alternating triangular splitting iteration method for time-harmonic parabolic problems

Based on the triangular splitting technique, we introduce a free-parameter alternating triangular splitting (FPATS) method for solving block two-by-two linear systems with applications to time-harmonic parabolic models. In addition, we demonstrate that the FPATS method is unconditionally convergent and outperforms other methods. Numerical results are provided to show the practicality and efficiency of our method.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.