SIMPLIFIED TIKHONOV REGULARIZATION FOR TWO KINDS OF PARABOLIC EQUATIONS

- Journal title : Journal of the Korean Mathematical Society
- Volume 48, Issue 2, 2011, pp.311-327
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2011.48.2.311

Title & Authors

SIMPLIFIED TIKHONOV REGULARIZATION FOR TWO KINDS OF PARABOLIC EQUATIONS

Jing, Li; Fang, Wang;

Jing, Li; Fang, Wang;

Abstract

This paper is devoted to simplified Tikhonov regularization for two kinds of parabolic equations, i.e., a sideways parabolic equation, and a two-dimensional inverse heat conduction problem. The measured data are assumed to be known approximately. We concentrate on the convergence rates of the simplified Tikhonov approximation of u(x, t) and its derivative (x, t) of sideways parabolic equations at 0 x < 1, and that of two-dimensional inverse heat conduction problem at 0 < x 1, respectively.

Keywords

Fourier transformation;simplified Tikhonov regularization;convergence rate;sideways parabolic equations;inverse heat conduction problems;

Language

English

Cited by

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