Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates

  • Ankita Shukla
  • Mani MehraEmail author
Original Research


In this paper, compact filter regularization method is introduced for the numerical solution of nonhomogeneous backward heat conduction problem. Compact filter regularization is a new, simple and convenient regularization method. The error estimate for this method is provided. Meanwhile, the numerical implementation is discussed. Numerical results conclude that the proposed algorithm is efficient and effective.


Backward heat conduction problem Nonhomogeneous heat Compact filter regularization Ill-posed problem 



The authors also acknowledge the support provided by the Department of Science and Technology, India, under the grant number SERB/F/11946/2018-2019.


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Copyright information

© Korean Society for Informatics and Computational Applied Mathematics 2019

Authors and Affiliations

  1. 1.Department of MathematicsIIT DelhiHauz Khas, New DelhiIndia

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