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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.
Keywords.: Ill-posed problem; spherically symmetric backward heat equation; spectral method; error estimate
Received: 2010-04-14
Published Online: 2011-08-05
Published in Print: 2011-August
© de Gruyter 2011
