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Application of Haar wavelet method for solving nonlinear evolution equations

机译:HAAR小波法在求解非线性演化方程的应用

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The Haar wavelet method (HWM) is adapted for solving nonlinear evolution equations. The Burgers equation is considered as a model equation here. The 2D wavelet expansion is employed. The aim of the study is to validate HWM in the case of complex problems (solution include steep slopes). The convergence in regard to mesh has been observed in direction of both axes. The numerical results obtained are found to be in good agreement with analytical solution.
机译:HAAR小波法(HWM)适于求解非线性演化方程。汉堡方程被认为是这里的模型等式。使用2D小波膨胀。该研究的目的是在复杂问题的情况下验证HWM(解决方案包括陡坡)。在两个轴的方向上观察到网格的收敛。发现的数值结果与分析解决方案很好。

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