摘要
详细论述了微分求积法的求积规则、加权系数和样点的选择,给出高阶微分方程和非线性问题的求积步骤,对热传导问题和非线性运动微分方程等算例分别进行了数值计算,结果表明微分求积法具有明显的高精度及低耗时的特点,对于非线性问题的计算仍保持很高的计算精度,算例也显示了使用微分求积法可以保持计算中系统能量的守恒.
The quadrature rules of the differential quadrature method, computing of the weighting coefficients and choices of sampling grid points have been discussed in detail in the paper. The quadrature approach for higher-order differential equations and nonlinear problem is presented as well. Some numerical examples dealing with the heat transfer problem and the nonlinear move differential equation have also been computed, respectively. The results indicate that the algorithm has the capability of producing highly accurate solutions with minimal time consumption. Highly computational precision can be obtained even for computing the nonlinear problem. It is shown that the total energy of system can be remained conservation in numerical computation using the differential quadrature method.
出处
《浙江工业大学学报》
CAS
2005年第4期429-433,共5页
Journal of Zhejiang University of Technology
基金
浙江省"新世纪151人才工程"资助(浙人专[2004]263号)
关键词
微分求积法
加权系数
微分方程
非线性
the differential quadrature method
weighting coefficient
differential equation
nonlinear
