一类非线性奇异BVPs上Hermite & Haar小波的若干计算问题

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics 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

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).