摘要
本文用最近由Wu提出的一种数值方法-GDQR(GeneralizedDifferentialQuadra-tureRule)对工程和科学技术中常遇到的2—4阶微分方程初值问题进行了求解.部分结果与精确解或龙格-库塔方法所得结果作了对比,表明GDQR在解决常微分方程初值问题时简单方便有效.
This paper introduces a new numerical method-Generalized Differential Quadrature Rule proposed by Wu in 2001. Using this method the authors solve several initial-value problems of differential equations of 2nd to 4nd order. Differential quadrature expressions are derived based on the GDQR for these equations. The numerical results were compared with the exact solutions and what obtained by using Runge-Kutta method. The numerical results indicate that GDQR has high efficiency and accuracy for initial-value problems of differential equations.
出处
《数值计算与计算机应用》
CSCD
2005年第2期135-140,共6页
Journal on Numerical Methods and Computer Applications
基金
河南省科技攻关项目0424220224
0424220224.
