The First Kind Fredholm Integral Equation of Regularization Algorithm Research

The First Kind Fredholm Integral Equation of Regularization Algorithm Research

Pinchao Meng Xiaowei Pang 

Changchun University of Science and Technology, Changchun China

Jilin University, Changchun China

Corresponding Author Email: 
mengpc@cust.edu.cn
Page: 
34-38
|
DOI: 
10.18280/rces.030202
Received: 
|
Accepted: 
|
Published: 
30 June 2016
| Citation

OPEN ACCESS

Abstract: 

As a result of the general operator equation can be transformed into integral equation method for solving, as this paper tell us, we use Tikhonov regularization method to solve the first kind of Fredholm integral equations of the numerical calculation method, and analyze the regularization parameter α and the number of iterations n of the influence of the error δ, the iterative regularization method iteration steps m and different δ how to affect the error.

Keywords: 

Regularization method, First kind of Fredholm integral equations, Numerical calculation method

1. Introduction
2. Ill-Posed Analysis
3. Regularization Method Theory
4. Numerical Example
  References

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