Notes on a new approximate solution of 2-D heat equation backward in time

DOI10.1016/j.apm.2011.05.010zbMath1228.65186OpenAlexW2046303646MaRDI QIDQ651772

Pham Hoang Quan, Dang Duc Trong, Nguyen Huy Tuan

Publication date: 18 December 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.05.010

zbMATH Keywords

error estimateill-posed problembackward heat problemquasi-reversibility methodquasi-boundary value methodnonhomogeneous heat equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (3)

A modified quasi-boundary value method for a backward problem for the inhomogeneous time conformable fractional heat equation in a cylinder ⋮ The backward problem of parabolic equations with the measurements on a discrete set ⋮ The backward problem of stochastic convection-diffusion equation

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