| 基于二次B样条的广义差分法 |
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| 引用本文： | 秦丹丹,冯雪,左平.基于二次B样条的广义差分法[J].吉林工学院学报,2011(3). |
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| 作者姓名： | 秦丹丹 冯雪 左平 |
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| 作者单位： | 空军航空大学基础部; |
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| 摘 要： | 构造了基于二次B样条的广义差分格式,并利用该格式求解二阶常微分方程,通过数值试验分析差分解的收敛性:在H1半范数和L2范数下,二次B样条广义差分法均具有2阶收敛精度。
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| 关 键 词： | B样条 广义差分法 H1半范数 L2范数 |
Generalized difference method based on quadratic B-spline |
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| QIN Dan-dan,FENG Xue,ZUO Ping.Generalized difference method based on quadratic B-spline[J].Journal of Jilin Institute of Technology,2011(3). |
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| Authors: | QIN Dan-dan FENG Xue ZUO Ping |
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| Institution: | QIN Dan-dan,FENG Xue,ZUO Ping(Fundamental Department,Aviation University of Air Force,Changchun 130022,China) |
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| Abstract: | The generalized difference format based on quadratic B-spline is built here.The format is used to solve the second order differential equation and the convergence of the differential solution is analyzed with numerical experiments: under the H1 semi-norm and in L2 norm,quadratic B-spline based generalized difference method has second-order convergence precision. |
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| Keywords: | B-spline generalized difference method H1 semi-norm L2 norm |
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