The method of central difference for the inverse time-dependent heat source problem

DOI10.1016/j.amc.2011.09.016zbMath1244.65135OpenAlexW1974715108MaRDI QIDQ426290

Fan Yang, Hengzhen Guo, Xiao-Xiao Li

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.016

zbMATH Keywords

stabilitynumerical resultsinverse problemerror estimateregularization methodill-posed problemstime-dependent heat sourcemethod of central difference

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (9)

Solution to a class of inverse problems for a system of loaded ordinary differential equations with integral conditions ⋮ A meshless method for solving 1D time-dependent heat source problem ⋮ Identifying a time-dependent heat source with nonlocal boundary and overdetermination conditions by the variational iteration method ⋮ Polarimetric detection for vector-sensor processing in quaternion proper Gaussian noises ⋮ Determination of an unknown time-dependent heat source from a nonlocal measurement by finite difference method ⋮ Central difference regularization method for inverse source problem on the Poisson equation ⋮ An approach to numerical solution of some inverse problems for parabolic equations ⋮ Numerical method for solving the parametric identification problem for loaded differential equations ⋮ The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation

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