Simple and Efficient Fifth order Solvers for Systems of nonlinear Problems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-19 DOI:10.3846/mma.2023.16244

Harmandeep Singh, J. Sharma

引用次数: 2

Abstract

In this study, two multi-step iterative techniques of fifth order convergence are explored to solve nonlinear equations. The techniques are designed with the prime objective of keeping the computational cost as low as possible. To claim this objective, the efficiency indices are determined and compared with the efficiencies of the existing techniques of same order. The outcome of comparison analysis is remarkable from the view of high computational efficiency of new methods. Performance and stability are illustrated by executing the numerical tests on some nonlinear problems of diverse nature. The entire analysis significantly favors the new techniques compared to their existing counterparts, especially for the case of large dimensional systems.

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非线性问题系统的简单有效的五阶解

本文研究了求解非线性方程的两种五阶收敛的多步迭代方法。设计这些技术的主要目标是尽可能降低计算成本。为了实现这一目标，确定了效率指标，并与现有同阶技术的效率进行了比较。从新方法的高计算效率来看，对比分析的结果是显著的。通过对不同性质的非线性问题的数值试验，说明了该方法的性能和稳定性。与现有的对应技术相比，整个分析明显倾向于新技术，特别是对于大维度系统的情况。

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.