Solving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method

Solving the Axisymmetric Inverse Heat Conduction Problem by a Wavelet Dual Least Squares Method

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We Toys 1+ consider an axisymmetric inverse heat conduction problem of determining the surface temperature from a fixed location inside a cylinder.This problem is ill-posed; the solution (if it exists) does not depend continuously on the data.A special project method—dual least squares method generated by the family of Shannon wavelet is applied to formulate regularized solution.Meanwhile, an order optimal In Ground Product (Solar) error estimate between the approximate solution and exact solution is proved.