用k步l稳定杂化方法对化学反应产生的一阶ivp刚性系统进行了新的高近似

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY Iranian journal of mathematical chemistry Pub Date : 2019-07-01 DOI:10.22052/IJMC.2018.111016.1335

M. M. Khalsaraei, A. Shokri, M. Molayi

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引用次数: 10

摘要

本文给出了一类新的一阶常微分方程数值解的混合方法。研究了新方法的精度和稳定性。在最后一节，我们应用新的混合方法来解决两个棘手的化学问题，如Roberston问题。

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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The new high approximation of stiff systems of first order IVPs arising from chemical reactions by k-step L-stable hybrid methods

In this paper, we present a new class of hybrid methods for the numerical solution of first order ordinary differential equations (ODEs). The accuracy and stability properties of the new methods are investigated. In the final section, we apply new hybrid methods to solve two stiff chemical problems such as Roberston problem.

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