计算机科学 ›› 2023, Vol. 50 ›› Issue (4): 125-132.doi: 10.11896/jsjkx.220800118
钱江, 张鼎
QIAN Jiang, ZHANG Ding
摘要： 首先针对不同阶的连续可导函数,对3次B样条拟插值算子进行相应的误差估计。其次将3次B样条拟插值方法用于求解圣维南方程,利用3次B样条拟插值的一阶导数近似圣维南方程的空间导数,同时使用向前差分近似其一阶时间导数,求出其数值解。最后将所得结果与4阶龙格库塔法和蛙跳格式所得数值解进行对比分析,结果表明3次B样条拟插值方法具有一定的优越性。
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