A New Method for Parabolic Equations with Highly Oscillating Coefficients
Jie Ouyang · Computer Engineering and Science · 2007
The principle of wavelet-based homogenization is introduced.The method is applied to parabolic equations with three kinds of highly oscillating coefficients.Because it is hard for these equations to get the resolutional results,the referrence resolution is obtained from the results of finite volume with fine mesh.According to the resolutional results,the numerical results show that the proposed method is better than the finite volume method,not only in calculation but also in accuracy.