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Landweber Iteration Regularization Method for Two Inverse Problems of Mathematical Physics Equation

Author: LiZhongFeng
Tutor: FuChuLi
School: Lanzhou University
Course: Basic mathematics
Keywords: Ill-posed problems Backward heat conduction problem The Cauchy problem of Helmholtz equation Landweber iteration method Error estimates Regularization parameter
CLC: O241.82
Type: Master's thesis
Year: 2010
Downloads: 44
Quote: 0
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Abstract


Landweber iteration method is a classical regularization method for solving ill-posed problems. In this thesis we use this method to study the backward heat conduction problem including flux item and the Cauchy problem of the Helmholtz equation. These two problems are all severely ill-posed, we obtain some strong convergence estimates. Numerical examples show that the method is feasible and stable.

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
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