Numerical solution of two backward parabolic problems using method of fundamental solutions
DOI10.1080/17415977.2016.1138947zbMath1359.65238OpenAlexW2341402999MaRDI QIDQ2973994
Z. Darooghehgimofrad, Abdollah Shidfar
Publication date: 5 April 2017
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2016.1138947
nonlocal boundary conditionsill-posed problemmethod of fundamental solutionsbackward problemTikhonov regularization method
Inverse problems in thermodynamics and heat transfer (80A23) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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Cites Work
- A method of fundamental solutions for transient heat conduction
- A backward parabolic equation with a time-dependent coefficient: regularization and error estimates
- A modified quasi-boundary value method for ill-posed problems
- Global blow-up for a localized nonlinear parabolic equation with a nonlocal boundary condition
- Application of sinc-collocation method for solving an inverse problem
- Some comments on the ill-conditioning of the method of fundamental solutions
- The final value problem for evolution equations
- The method of fundamental solutions for elliptic boundary value problems
- Mixed problem with boundary integral conditions for a certain parabolic equation
- Solving a parabolic PDE with nonlocal boundary conditions using the sinc method
- Time-dependent fundamental solutions for homogeneous diffusion problems
- Note on using radial basis functions and Tikhonov regularization method to solve an inverse heat conduction problem
- Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation
- A degenerate parabolic system with nonlocal boundary condition
- Semilinear parabolic problems with nonlocal Dirichlet boundary conditions
- An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
- The method of fundamental solutions for the backward heat conduction problem
- A decreasing property of solutions of parabolic equations with applications to thermoelasticity
- Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions
- Extensions of a property of the heat equation to linear thermoelasticity and other theories
- Determination of a control parameter in a parabolic partial differential equation
- Parabolic equations and thermodynamics
- The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
- Error Bounds in the Final Value Problem for the Heat Equation
- The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
- Rank-Deficient and Discrete Ill-Posed Problems
- Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions
- Method of fundamental solutions: singular value decomposition analysis
- The method of functional equations for the approximate solution of certain boundary value problems
- Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem
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