In previous decades, many of the practical problems arising in scientific fields such as physics, engineering, and mathematics have been related to nonlinear fractional partial differential equations. One of these non...In previous decades, many of the practical problems arising in scientific fields such as physics, engineering, and mathematics have been related to nonlinear fractional partial differential equations. One of these nonlinear partial differential equations, the dissipative wave equation, has been found to have a plethora of useful applications in different fields. A special class of solutions has been studied for the dissipative wave equation including exact solutions and approximate solutions. The aim of this article is to compare the non-polynomial spline method and the cubic B-spline method with the solution of a nonlinear dissipative wave equation. We will conduct a comparison of the stability of the two methods using the Von Neumann stability analysis. In addition, a numerical example will be presented to illustrate the accuracy of these methods.展开更多
对四自由度写字机器人轨迹规划的理论方法进行了研究,将三次多项式插值算法和防止加速度突变的三次样条插值算法在写字机器人轨迹规划中结合使用,使得书写的字体笔划平滑、稳定。以A S-M R obot型四自由度机器人为试验平台,用VC++对这...对四自由度写字机器人轨迹规划的理论方法进行了研究,将三次多项式插值算法和防止加速度突变的三次样条插值算法在写字机器人轨迹规划中结合使用,使得书写的字体笔划平滑、稳定。以A S-M R obot型四自由度机器人为试验平台,用VC++对这两种算法进行编程实现。展开更多
介绍了一种以M atlab为主要算法工具,以V isua l C++为操作界面的软件修正测量器具系统误差的方法,采用单片机系统实现其应用。给出了修正系统的构架和软件设计思想,把电子数显测量器具的误差特性预先存在后端微处理器内,然后由处理器...介绍了一种以M atlab为主要算法工具,以V isua l C++为操作界面的软件修正测量器具系统误差的方法,采用单片机系统实现其应用。给出了修正系统的构架和软件设计思想,把电子数显测量器具的误差特性预先存在后端微处理器内,然后由处理器对前端传感器来的测量信号进行误差补偿并最终将补偿后的测量结果显示出来。该技术方法能在目前流行方法的基础上大大提高测量器具的测量精度,并且这种采用科学计算方法的电子数显测量器具在今后的电子测量中有相当的指导意义和现实意义。展开更多
文摘In previous decades, many of the practical problems arising in scientific fields such as physics, engineering, and mathematics have been related to nonlinear fractional partial differential equations. One of these nonlinear partial differential equations, the dissipative wave equation, has been found to have a plethora of useful applications in different fields. A special class of solutions has been studied for the dissipative wave equation including exact solutions and approximate solutions. The aim of this article is to compare the non-polynomial spline method and the cubic B-spline method with the solution of a nonlinear dissipative wave equation. We will conduct a comparison of the stability of the two methods using the Von Neumann stability analysis. In addition, a numerical example will be presented to illustrate the accuracy of these methods.
文摘介绍了一种以M atlab为主要算法工具,以V isua l C++为操作界面的软件修正测量器具系统误差的方法,采用单片机系统实现其应用。给出了修正系统的构架和软件设计思想,把电子数显测量器具的误差特性预先存在后端微处理器内,然后由处理器对前端传感器来的测量信号进行误差补偿并最终将补偿后的测量结果显示出来。该技术方法能在目前流行方法的基础上大大提高测量器具的测量精度,并且这种采用科学计算方法的电子数显测量器具在今后的电子测量中有相当的指导意义和现实意义。
