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求方程y″+Q(x)y=0解的零点的单侧逼近法

An Iteration Methods for the Root-Finding Problem of Solution of Equation y″+Q(x)y=0

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【作者】 罗远诠孙育贤

【Author】 Luo Yuanquan and Sun Yuxian (Department of Applied Mathematics. of D. I. T)

【机构】 大连工学院应用数学系大连工学院应用数学系

【Abstract】 The object of this paper is to propose an iteration method for the root finding problem of solution of second-order ordinary differential equations y″ +Q(x)y=0. The iteration methods is the following Where n=0, 1, 2, ..., and When Q(x) is decrease (or increase) the sequence(A)(or(B)) is global conver- gent and has the convergence order four.

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