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A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient

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  • Pham Hoang Quan
  • Le Minh Triet
  • Dang Duc Trong

Abstract

We study the backward problem with time-dependent coefficient which is a severely ill-posed problem. We regularize this problem by combining quasi-boundary value method and quasi-reversibility method and then obtain sharp error estimate between the exact solution and the regularized solution. A numerical experiment is given in order to illustrate our results.

Suggested Citation

  • Pham Hoang Quan & Le Minh Triet & Dang Duc Trong, 2012. "A Regularization of the Backward Problem for Nonlinear Parabolic Equation with Time-Dependent Coefficient," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-20, October.
    • Handle: RePEc:hin:jijmms:943621
    DOI: 10.1155/2012/943621
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    References listed on IDEAS

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    1. Feng, Xiao-Li & Qian, Zhi & Fu, Chu-Li, 2008. "Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(2), pages 177-188.
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