Numerical simulation of Burgers’ equations via quartic HB-spline DQM

IF 2.4 Q2 ENGINEERING, MECHANICAL

Nonlinear Engineering - Modeling and Application Pub Date : 2023-01-01 DOI:10.1515/nleng-2022-0264

Mamta Kapoor

引用次数: 0

Abstract

Abstract Via modified quartic hyperbolic B-spline DQM, Burgers’ equation is numerically approximated in the current study. Ten numerical instances are discussed, and the findings are compared with those already in existence and with exact results. Error norms are assessed, and findings are shown in tabular as well as graphical formats, to validate the resilience and applicability portion of established numerical system. Matrix stability analysis approach is used to discuss proposed scheme’s stability. The current plan is robust, precise, and simple to put into action.

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基于四次hb样条DQM的Burgers方程数值模拟

摘要本文利用改进的四次双曲b样条DQM，对Burgers方程进行了数值逼近。讨论了十个数值实例，并与已有的计算结果进行了比较，得到了准确的结果。评估误差规范，并以表格和图形格式显示结果，以验证已建立的数字系统的弹性和适用性部分。采用矩阵稳定性分析方法讨论了所提方案的稳定性。目前的计划是稳健、精确和易于实施的。

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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来源期刊

Nonlinear Engineering - Modeling and Application Multiple-

CiteScore

6.20

自引率

3.60%

发文量

审稿时长

44 weeks

期刊介绍： The Journal of Nonlinear Engineering aims to be a platform for sharing original research results in theoretical, experimental, practical, and applied nonlinear phenomena within engineering. It serves as a forum to exchange ideas and applications of nonlinear problems across various engineering disciplines. Articles are considered for publication if they explore nonlinearities in engineering systems, offering realistic mathematical modeling, utilizing nonlinearity for new designs, stabilizing systems, understanding system behavior through nonlinearity, optimizing systems based on nonlinear interactions, and developing algorithms to harness and leverage nonlinear elements.