Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation - Open Access Library Journal

OALibJ > Vol.2 No.5, May 2015

Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation ()

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DOI: 10.4236/oalib.1101542 1,414 Downloads 2,226 Views Citations

Author(s)

Hongwu Zhang, Xiaoju Zhang

Affiliation(s)

School of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan, China.

ABSTRACT

We consider an inverse initial value problem of the biparabolic equation; this problem is ill-posed and the regularization methods are needed to stabilize the numerical computations. This paper firstly establishes a conditional stability of Holder type, then uses a modified regularization method to overcome its ill-posedness and gives the convergence estimate under an a-priori assumption for the exact solution. Finally, a numerical example is presented to show that this method works well.

KEYWORDS

Inverse Initial Value Problem, Biparabolic Equation, Conditional Stability, Regularization Method, Convergence Estimate

Share and Cite:

Zhang, H. and Zhang, X. (2015) Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation. Open Access Library Journal, 2, 1-7. doi: 10.4236/oalib.1101542.

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