ERROR ESTIMATES ON A BACKWARD HEAT EQUATION BY A WAVELET DUAL LEAST SQUARES METHOD

Xiangtuan Xiong, Chu‐Li Fu · International Journal of Wavelets Multiresolution and Information Processing · 2007

We apply a wavelet dual least squares method to a backward heat equation. Connecting Shannon wavelet bases with a special project method, the dual least squares method, we can obtain a regularized solution. Meanwhile, a new error estimate between the approximate solution and exact solution is proved.

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