SIMPLIFIED TIKHONOV REGULARIZATION FOR TWO KINDS OF PARABOLIC EQUATIONS

Title & Authors
SIMPLIFIED TIKHONOV REGULARIZATION FOR TWO KINDS OF PARABOLIC EQUATIONS
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 $\small{u_x}$(x, t) of sideways parabolic equations at 0 $\small{\leq}$ x < 1, and that of two-dimensional inverse heat conduction problem at 0 < x $\small{\leq}$ 1, respectively.
Keywords
Fourier transformation;simplified Tikhonov regularization;convergence rate;sideways parabolic equations;inverse heat conduction problems;
Language
English
Cited by
1.
A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation, Advances in Applied Mathematics and Mechanics, 2015, 7, 01, 31
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