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首页> 外文期刊>Turkish Journal of Analysis and Number Theory >A Class of Irrational Linear Multistep Block Method for the Direct Numerical Solution of Third Order Ordinary Differential Equations
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A Class of Irrational Linear Multistep Block Method for the Direct Numerical Solution of Third Order Ordinary Differential Equations

机译：一类非理性线性多步模块块方法，用于三阶常微分方程的直接数值解

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摘要

This work considers the direct solution of general third order ordinary differential equation by three-step irrational linear multistep method. This method is derived using collocation and interpolation techniques. An irrational three-step method is developed. Taylor series and block methods are used to generate the independent solution at selected points. The properties of the method were also determined. The developed method was applied on general third order ordinary differential equations. And the performance of the numerical results of the method compared favourably with the results of existing authors in the recent literature to test its accuracy and stability.
机译：这项工作考虑了三步非理性线性多步骤方法的一般三阶常微分方程的直接解决方案。此方法使用搭配和插值技术导出。开发了一种非理性的三步方法。泰勒系列和块方法用于在所选点产生独立的解决方案。还确定了该方法的性质。将开发方法应用于一般三阶常微分方程。该方法的数值结果的性能有利地与最近文献中的现有作者的结果相比，以测试其准确性和稳定性。

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