WAVELET METHODS FOR THE SIDEWAYS HEAT EQUATION
Chu‐Li Fu, Chun-Yu Qiu, Youbin Zhu · 2003
It is well-known that the problem is ill-posed in the sense that the solution ( if it exists) does not depend continuously on the data. The Meyer wavelets are applied by T. Regifiska earliest at 1995 to formulate a regularized solution, but unfortunately it convergent to exact one not in all interval (0, 1] when data error tends to zero. The present paper gives out another wavelet regularization method for the problem. Our results not only make up the defect of Regifiska's result but also improve the convergence near x = 0 which is a difficult problem left over by some papers.