求解三阶初值问题的三混合点两步块法优化

Journal of Nonlinear Sciences and Applications Pub Date : 2019-03-09 DOI:10.22436/JNSA.012.07.04

B. S. Kashkari, Sadeem Alqarni

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引用次数: 5

摘要

提出了求解三阶初值问题的优化两步混合块法。该方法考虑了三个合适的混合点，以优化块的主要公式的局部截断误差。该方法是零稳定的，与六阶代数一致。通过数值算例验证了该方法的有效性和准确性。

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Optimization of two-step block method with three hybrid points for solving third order initial value problems

An optimized two-step hybrid block method for the numerical solution of third-order initial value problems is presented. The method takes into regard three hybrid points which are selected suitably to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with sixth algebraic order. Some numerical examples are debated to demonstrate the efficiency and the accuracy of the proposed method.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.