Nonhomogeneous backward heat conduction problem: Compact filter regularization and error estimates
- 32 Downloads
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.
KeywordsBackward 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.
- 4.Miller, K.: Stabilized quasi-reversibility and other nearly best possible methods for non-well-posed problems. In: Symposium on Non-Well-Posed Problems and Logarithmic Convexity. Lecture Notes in Mathematics, vol. 316, pp. 161–176. Springer-Verlag, Berlin (1973)Google Scholar
- 16.Tyliszczak, A.: Influence of the compact explicit filtering method on the perturbations growth in temporal shear-layer flow. J. Theor. Appl. Mech. 41, 19–32 (2003)Google Scholar