一类非线性奇异BVPs上Hermite & Haar小波的若干计算问题

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.2298/AADM191123020V

Amit Verma, D. Tiwari

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引用次数: 2

摘要

我们提出了一类新的处理放热反应的sbvp。利用Hermite小波配置，结合牛顿拟线性化和牛顿-拉夫森方法，提出了求解奇异非线性BVPs的四种计算稳定的方法。将厄米特小波与哈尔小波的结果进行了比较。通过对Lane-Emden方程的计算，验证了这四种方法的有效性。并给出了收敛性分析。

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On some computational aspects of Hermite & Haar wavelets on a class of nonlinear singular BVPs

We propose a new class of SBVPs which deals with exothermic reactions. We also propose four computationally stable methods to solve singular nonlinear BVPs by using Hermite wavelet collocation which are coupled with Newton's quasilinearization and Newton-Raphson method. We compare the results which are obtained by using Hermite wavelets with the results obtained by using Haar wavelets. The efficiency of these methods are verified by applying these four methods on Lane-Emden equations. Convergence analysis is also presented.

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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.