基于小波变换的偏微分方程求解

Resolution of Partial Differential Equations Based on Wavelet Transform

偏微分方程在计算流体力学和许多化工过程建模中有广泛的应用。当在空间位置出现突变时,偏微分方程的经典解法如有限元法和加权残差法等无法保证解的精度和收敛性。在此基于内插小波变换,研究了改善偏微分方程求解精度的方法。

Partial differential equations play the rule of computational fluid mechanics and modeling chemical engineering processes. The problems of resolution and convergence are increased by classic methods such as FEM and WRM when the solutions exhibit sharp changes. The method for improvement of the solution's PDEs based on the interpolating wavelet is researched.