ERROR ESTIMATES ON A BACKWARD HEAT EQUATION BY A WAVELET DUAL LEAST SQUARES METHOD-Reference-Cited by-同舟云学术

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

Published:2007-05 Issue:03 Volume:05 Page:389-397
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

XIONG XIANG-TUAN¹,FU CHU-LI¹

Affiliation:

1. Department of Mathematics, Lanzhou University, Lanzhou 730000, P. R. China

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691307001811

Reference18 articles.

1. The final value problem for evolution equations

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