摘要
建立了求解梁振动方程数值解的移位Legendre小波配置法。利用移位的Legendre多项式,推导出Riemann-Liouville意义下移位Legendre小波函数的一般分数阶积分公式。利用分数积分公式和二维移位Legendre小波配置法,将梁振动方程求解问题转化为代数方程组求解。数值算例表明该方法具有较高的精度。
Collocation method based on Shifted Legendre wavelet for solving the numerical solution of beam vibration equation is presented. The fractional integral formula of a single shifted Legendre wavelet function is derived from the definition by means of the shifted Legendre polynomial. Beam vibration equation is converted to a system of algebraic equation by using two dimensional shifted Legendre wavelet collocation methods and fractional integral formula. Numerical example shows that the method has high accuracy.
作者
周凤英
谢宇
ZHOU Feng-ying;XIE Yu(School of Science, East China University of Technology, Nanchang 330013 , China)
出处
《东华理工大学学报(自然科学版)》
CAS
2019年第2期195-200,共6页
Journal of East China University of Technology(Natural Science)
基金
国家自然科学基金(11601076)
江西省教育厅科学技术研究项目(GJJ170473)