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Method of finding solution of equation and recording medium storing program for implementing the same

机译:寻找方程式解的方法和用于实现方程式的记录介质存储程序

摘要

The present invention relates to a solution-finding method, which finds an approximate solution of an equation having difficulty in obtaining an actual solution and a complicated equation in numerical analysis. The method obtains an approximate solution of an equation having a solution in a predetermined interval. Initial values are calculated based on upper and lower limits of the interval. The initial values are applied to a solution-finding equation, including a sign function and the upper and lower limits, and the solution-finding equation is arranged so that a definite integral formula for the sign function is included in the equation. The definite integral formula in the solution-finding equation is calculated using numerical integration, and results of the definite integral formula are applied to the solution-finding equation, thus obtaining an approximate solution. This performance is iterated until the approximate solution satisfies an allowable error.
机译:本发明涉及一种求解方法,其找到难以获得实际解的方程式和在数值分析中复杂的方程式的近似解。该方法获得具有在预定间隔中的解的方程的近似解。初始值是根据间隔的上限和下限计算的。将初始值应用于包括符号函数以及上限和下限的求解方程,并且布置求解方程,以使方程中包含用于该函数的确定积分公式。利用数值积分计算求解方程中的定积分公​​式,并将定积分公式的结果应用于求解方程,从而获得近似解。重复此性能,直到近似解满足允许的误差为止。

著录项

  • 公开/公告号US8577947B2

    专利类型

  • 公开/公告日2013-11-05

    原文格式PDF

  • 申请/专利权人 BEONG-IN YUN;

    申请/专利号US20100718322

  • 发明设计人 BEONG-IN YUN;

    申请日2010-03-05

  • 分类号G06F7/38;

  • 国家 US

  • 入库时间 2022-08-21 16:43:37

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