On the Regularization Method of the First Kind Fredholm Integral Equation With a Complex Kernel and its Application

You Yunxiang; Miao Guoping

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You Yunxiang, Miao Guoping. On the Regularization Method of the First Kind Fredholm Integral Equation With a Complex Kernel and its Application[J]. Applied Mathematics and Mechanics, 1998, 19(1): 70-78.

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On the Regularization Method of the First Kind Fredholm Integral Equation With a Complex Kernel and its Application

Shanghai Jiao Tong University, Shanghai 200030, P. R. China

Received Date: 1996-06-24
Rev Recd Date: 1997-06-08
Publish Date: 1998-01-15

Abstract

Abstract

The regularized integrodifferential equation for the first kind Fredholm integral equation with a complex kernel is derived by generalizing the Tikhonov regularization method and the convergence of approximate rgeularized solutions is discussed. As an application of the method, an inverse problem in the two-demensional wave-making problem of a flat plate is solved numerically, and a practical approach of choosing optimal regularization parameter is given.
- Inverse problem,
- Fredholm integral equation of the first kind,
- complex kernel,
- regularization method

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References(10)

References

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