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Numerical solution of uncertain second order ordinary differential equation using interval finite difference method

机译:不确定二阶常微分方程的区间有限差分法数值解

摘要

It is well known that differential equations are in general the backbone of physical systems. The physical systems are modelled usually either by ordinary differential or partial differential equations. Various exact and numerical methods are available to solve different ordinary and partial differential equations. But in actual practice the variables and coefficients in the differential equations are not crisp. As those, are obtained by some experiment or experience. As such the coefficients and the variables may be used in interval or in fuzzy sense. So, we need to solve ordinary and partial differential equations accordingly, that is interval ordinary and interval partial differential equations are to be solved. In the present analysis our target is to use interval computation in the numerical solution of some ordinary differential equations of second order by using interval finite difference method with uncertain analysis.
机译:众所周知,微分方程通常是物理系统的基础。通常通过常微分方程或偏微分方程对物理系统进行建模。可以使用各种精确和数值方法来求解不同的常微分方程和偏微分方程。但是在实际中,微分方程中的变量和系数并不清晰。作为那些,是通过一些实验或经验获得的。这样,系数和变量可以以间隔或模糊的方式使用。因此,我们需要相应地求解常微分方程和偏微分方程,即要求解区间常微分和区间偏微分方程。在目前的分析中,我们的目标是在不确定性的基础上,使用区间有限差分法,在一些二阶常微分方程的数值解中使用区间计算。

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    Behera Kshyanaprabha;

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  • 年度 2012
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