湘南学院学报
湘南學院學報
상남학원학보
JOURNAL OF XIANGNAN UNIVERSITY
2014年
2期
111-114
,共4页
三次样条插值%三弯矩方程组%追赶法%数值解
三次樣條插值%三彎矩方程組%追趕法%數值解
삼차양조삽치%삼만구방정조%추간법%수치해
method of cubic spline interpolation%tridiagonal equations%method of speedup%numerical solutions
在汽车门曲线设计中,运用三次样条插值法构造了严格对角占优的三弯矩方程组,利用追赶法求解方程组,并用Matlab进行了数值实验得到了数值解,汇出了曲线图,进而,我们将三次样条插值算法与分段线性插值、分段抛物插值、邻近点插值的结果进行比较,实验结果表明,三次样条插值算法能获得高精度的插值结果。
在汽車門麯線設計中,運用三次樣條插值法構造瞭嚴格對角佔優的三彎矩方程組,利用追趕法求解方程組,併用Matlab進行瞭數值實驗得到瞭數值解,彙齣瞭麯線圖,進而,我們將三次樣條插值算法與分段線性插值、分段拋物插值、鄰近點插值的結果進行比較,實驗結果錶明,三次樣條插值算法能穫得高精度的插值結果。
재기차문곡선설계중,운용삼차양조삽치법구조료엄격대각점우적삼만구방정조,이용추간법구해방정조,병용Matlab진행료수치실험득도료수치해,회출료곡선도,진이,아문장삼차양조삽치산법여분단선성삽치、분단포물삽치、린근점삽치적결과진행비교,실험결과표명,삼차양조삽치산법능획득고정도적삽치결과。
In the design of car door curves ,we used the method of cubic spline interpolation and constructed a ma-trix tridiagonal equations which is strictly diagonally dominant .And then we used the method of speedup substitu-tion to solve the equations .Meanwhile ,by means of mathematical analysis and simulation based on Matlab tool-box ,we got the numerical solutions and obtain the curve graph .Experiments showed that the spline interpolation can get high precision results .