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A TWO-STEP EXPLICIT METHOD FOR A CLASS OF LINEAR PERIODIC INITIAL VALUE PROBLEMS

A TWO-STEP EXPLICIT METHOD FOR A CLASS OF LINEAR PERIODIC INITIAL VALUE PROBLEMS
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摘要 This paper presents a two-step explicit method of order four for solving aclass of linear periodic initial value problems. At each computational step, only tworight function evaluations and one derivative evaluation are employed. Basing on aspecial vector operation, the method can be extended to the vector-applicable in multi-dimensional space. This paper presents a two-step explicit method of order four for solving a class of linear periodic initial value problems. At each computational step, only two right function evaluations and one derivative evaluation are employed. Basing on a special vector operation, the method can be extended to the vector-applicable in multidimensional space.
关键词 线性周期初值问题 二步显式方法 特征方程 矢量积 linear periodic initial value problem, characteristic equation, periodicity interval, vector product and quotient.
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