| RK-MRTD算法的稳定性及数值色散性分析 |
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| 引用本文： | 王丽华,吴先良,宋开宏.RK-MRTD算法的稳定性及数值色散性分析[J].安徽大学学报(自然科学版),2011,35(5):68-72. |
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| 作者姓名： | 王丽华 吴先良 宋开宏 |
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| 作者单位： | 安徽大学电子信息工程学院,安徽合肥,230039 |
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| 基金项目： | 国家自然科学基金资助项目(60671051);安徽省教育厅自然科学基金重点资助项目(KJ2009A53) |
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| 摘 要： | 将龙格-库塔(Runge-Kutta)方法引入到时域多分辨分析(MRTD)算法,即在时间上采用Runge-Kutta方法离散,并用此算法解决传统时域有限差分(FDTD)算法较大的色散误差问题.对Runge-Kutta时域多分辨分析算法(RK-MRTD)的稳定性和数值色散性进行系统分析,数值结果表明该方法具有高精度性.
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| 关 键 词： | Runge-Kutta时域多分辨分析算法 数值色散 稳定性 |
Stability and numerical dispersion of RK-MRTD schemes |
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| WANG Li-hua,WU Xian-liang,SONG Kai-hong.Stability and numerical dispersion of RK-MRTD schemes[J].Journal of Anhui University(Natural Sciences),2011,35(5):68-72. |
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| Authors: | WANG Li-hua WU Xian-liang SONG Kai-hong |
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| Institution: | (School of Electronic and Information Engineering,Anhui University,Hefei 230039,China) |
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| Abstract: | The Runge-Kutta method was applied to Mutliresolution Time Domain(MRTD) scheme to solve the dispersion error of the traditional finite difference time-domain(FDTD) method,and the sheme in time direction was discretized using Runge-Kutta method.The stability and numerical dispersion equation of the Runge-Kutta mutliresolution time domain(RK-MRTD) method were deduced,numerical results showed the high accuracy of the RK-MRTD scheme. |
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| Keywords: | Runge-Kutta multiresolution time domain numerical dispersion stability |
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