Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter August 5, 2011

Regularization and error estimate for a spherically symmetric backward heat equation

Wei Cheng, Chu-Li Fu and Feng-Juan Qin
From the journal

Abstract

In this paper, we consider an inverse time problem for a spherically symmetric heat equation. The problem is ill-posed. A spectral method is applied to formulate a regularized solution which is stably convergent to the exact ones. A quite sharp error estimate for the regularized solution is obtained with suitable choice of regularization parameter.

Received: 2010-04-14
Published Online: 2011-08-05
Published in Print: 2011-August

© de Gruyter 2011