Identifying an unknown source term in a heat equation with time-dependent coefficients
From MaRDI portal
Publication:5152234
DOI10.1080/17415977.2020.1798421zbMath1473.35661OpenAlexW3045929229MaRDI QIDQ5152234
Nguyen Van Duc, Luong Duy Nhat Minh, Nguyen Trung Thành
Publication date: 17 September 2021
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2020.1798421
Inverse problems for PDEs (35R30) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness and counterexamples in some inverse source problems
- Determination of a time-dependent term in the right-hand side of linear parabolic equations
- Determination of a term in the right-hand side of parabolic equations
- Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method
- Stability results for semi-linear parabolic equations backward in time
- Three high-order splitting schemes for 3D transport equation
- Stability results for the heat equation backward in time
- The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
- An inverse problem for an unknown source in a heat equation
- Determination of a source term in a linear parabolic partial differential equation
- Conditional stability in determination of force terms of heat equations in a rectangle
- A mollification method for ill-posed problems
- An inverse problem of finding a source parameter in a semilinear parabolic equation
- Inverse source problem for parabolic equation with the condition of integral observation in time
- The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation
- A mollification method for a noncharacteristic Cauchy problem for a parabolic equation
- Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions
- An inverse source problem for parabolic equations with local measurements
- Determination of a source in the heat equation from integral observations
- Optimal error bound and Fourier regularization for identifying an unknown source in the heat equation
- An a posteriori mollification method for the heat equation backward in time
- A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain
- Data compatibility and conditional stability for an inverse source problem in the heat equation
- Determination of a two-dimensional heat source: uniqueness, regularization and error estimate
- Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term
- Inverse heat conduction problems with boundary and final time measured output data
- Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique
- Stability results for backward parabolic equations with time-dependent coefficients
- Identifying an unknown source term in a heat equation
- Uniqueness and stability in multi-dimensional inverse problems
- Stability Estimates in an Inverse Problem for a Three-Dimensional Heat Equation
- Determine the special term of a two-dimensional heat source
- Reconstruction of a spacewise-dependent heat source in a time-dependent heat diffusion process
- Determination of an Unknown Heat Source from Overspecified Boundary Data
- Relationship between representation formulas for unique regularized solutions of inverse source problems with final overdetermination and singular value decomposition of input-output operators
- The Identity of Weak and Strong Extensions of Differential Operators
- An inverse problem for the heat equation
This page was built for publication: Identifying an unknown source term in a heat equation with time-dependent coefficients