论通过非缓变小波方案求解 Lane-Emden 模型以揭示天体物理现象

IF 6.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

alexandria engineering journal Pub Date : 2024-10-23 DOI:10.1016/j.aej.2024.10.064

Jaya Gupta , Ratesh Kumar , Homan Emadifar

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引用次数: 0

摘要

研究重点是探索莱恩-埃姆登方程的特点，这是一个二阶常微分方程，起源于天体物理学。为了逼近这个方程，我们采用了一种结合准线性化的非缓和哈尔小波技术。通过使用非缓变小波，常微分方程可以简化为一个代数方程系统。误差估计用于评估生成数据的准确性。对现有解决方案和使用建议方法获得的数值结果进行了比较，以展示其效率和优势。研究发现，非缓和哈小波方法结构丰富，适用于众多物理参数范围广泛的解决方案。

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On the solutions of the Lane-Emden model via non-dyadic wavelet scheme to unravel astrophysical phenomena

The research focuses on exploring the characteristics of the Lane Emden equation, which is a second-order ordinary differential equation that has its roots in astrophysics. To approximate this equation, a technique that employs non-dyadic Haar wavelets in conjunction with quasi-linearization is utilized. By utilizing non-dyadic wavelets, the ordinary differential equation can be simplified into a system of algebraic equations. Error estimates are provided to assess the accuracy of the produced data. A comparison between the existing solutions and the numerical results obtained using the suggested approach is performed to showcase its efficiency and advantages. The non-dyadic Haar wavelet approach is found to be a rich structure for numerous solutions that span a wide range of physical parameter.

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来源期刊

alexandria engineering journal Engineering-General Engineering

CiteScore

11.20

自引率

4.40%

发文量

1015

审稿时长

43 days

期刊介绍： Alexandria Engineering Journal is an international journal devoted to publishing high quality papers in the field of engineering and applied science. Alexandria Engineering Journal is cited in the Engineering Information Services (EIS) and the Chemical Abstracts (CA). The papers published in Alexandria Engineering Journal are grouped into five sections, according to the following classification: • Mechanical, Production, Marine and Textile Engineering • Electrical Engineering, Computer Science and Nuclear Engineering • Civil and Architecture Engineering • Chemical Engineering and Applied Sciences • Environmental Engineering