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We consider an inverse initial value problem of thebiparabolic equation; this problem is ill-posed and the regularization methodsare needed to stabilize the numerical computations. This paper firstlyestablishes a conditional stability of Holder type, then uses a modifiedregularization method to overcome its ill-posedness and gives the convergenceestimate under an a-priori assumptionfor the exact solution. Finally, a numerical example is presented to show thatthis method works well.

KEYWORDS

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

Cite this paper

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.





Autor: Hongwu Zhang, Xiaoju Zhang

Fuente: http://www.scirp.org/



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