Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-21 DOI:10.1080/00207160.2023.2239948

Ashisha Kumar, P. Goswami

引用次数: 0

Abstract

This paper deals with the numerical solution of the general Emden–Fowler equation using the Haar wavelet collocation method. This method transforms the differential equation into a system of nonlinear equations. These equations are further solved by Newton's method to obtain the Haar coefficients, and finally the solution to the problem is acquired using these coefficients. We have taken many examples of fifth- and sixth-order equations and implemented our method on those examples. The graphs show the efficiency of the solution for resolution L = 3 and the maximum absolute error of our approach. The error tables give a good picture of the accuracy of this approach.

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用Haar小波配点法数值解一般Emden-Fowler方程

本文用Haar小波配点法研究了一般Emden-Fowler方程的数值解。这种方法将微分方程转化为非线性方程组。再用牛顿法求解这些方程，得到哈尔系数，最后利用这些系数求出问题的解。我们举了许多五阶和六阶方程的例子，并在这些例子上实现了我们的方法。图中显示了分辨率为L = 3的解的效率和我们的方法的最大绝对误差。误差表很好地说明了这种方法的准确性。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.