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本文给出了基于小波尺度函数展开的高阶导数及其在伽辽金有限元法中有关联的导数乘积积分的计算格式,从而实现了将小波伽辽金法用于求解高于二阶导数微分方程边值问题的数值计算,使其在结构力学问题求解中成为可能·数值算例表明:本方法具有良好的计算精度·
In this paper, the calculation formulas of high-order derivatives based on wavelet scaling function and their associated derivative product integrals in the Galerkin finite element method are given, so that the wavelet Galerkin method can be used to solve higher-order derivatives The numerical calculation of boundary value problems of differential equations makes it possible to solve structural mechanics problems. Numerical examples show that this method has good calculation accuracy.