The Wavelet-Galerkin method and its merits in solving partial differential equation are presented. (2) Autocorrelation function of Daubechies scale function is chosen as base function, nonlinear partial differential equation is solved by Wavelet-Galerkin method.
选取Daubechies尺度函数的自相关函数为基函数,运用小波-Galerkin法求解了非线性偏微分方程。
参考来源 - 偏微分方程的小波·2,447,543篇论文数据，部分数据来源于NoteExpress
The finite-length beam on elastic foundation is solved by the wavelet Galerkin finite element method. In comparison with the analytical results, the solution has better accuracy and convergence.
用此方法求解弹性地基上的有限长梁，从结果对比可以看出其解具有良好的精确性和收敛性。
Convergence of the wavelet-like incremental unknowns method is proved when applied in the inertial manifold multigrid algorithms(IMG)or nonlinear Galerkin methods.
当应用于惯性流形多网格算法和非线性伽略金方法时，可证明类小波增量未知元方法的收敛性。
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