Stabilizing the nonlinear spherically symmetric backward heat equation via two-parameter regularization method

DOI10.1007/s11784-017-0429-xzbMath1493.47010OpenAlexW2608941063MaRDI QIDQ1684865

Tra Quoc Khanh, Tran Thi Khieu, Ngo Van Hoa

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0429-x

zbMATH Keywords

error estimatesill-posed problemnonhomogeneous heatspherically symmetric inverse heat problem

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items

Two-parameter regularization method for a nonlinear backward heat problem with a conformable derivative, Regularized solution of the Cauchy problem for the biharmonic equation, On the backward problem for parabolic equations with memory

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