Numerical simulations for initial value inversion problem in a two-dimensional degenerate parabolic equation
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Publication:2144800
DOI10.3934/math.2021187OpenAlexW3118417409MaRDI QIDQ2144800
Zui-Cha Deng, Fan-Li Liu, Liu Yang
Publication date: 17 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021187
stabilitydifference schemedegenerate parabolic equationnumerical simulationinitial value inversion problem
Inverse problems for PDEs (35R30) Existence theories for optimal control problems involving partial differential equations (49J20)
Cites Work
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- Determination of the insolation function in the nonlinear Sellers climate model
- Optimization method for the inverse problem of reconstructing the source term in a parabolic equation
- An inverse problem of finding a source parameter in a semilinear parabolic equation
- A transversal method of lines for the numerical modeling of vertical infiltration into the vadose zone
- Determination of a control function in three-dimensional parabolic equations
- A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils
- A family of new globally convergent linearization schemes for solving Richards' equation
- Numerical simulation for an inverse source problem in a degenerate parabolic equation
- Multi-parameters identification problem for a degenerate parabolic equation
- Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
- Null controllability of degenerate heat equations
- Carleman estimates for one-dimensional degenerate heat equations
- Determination of source terms in a degenerate parabolic equation
- An inverse problem of identifying the source coefficient in a degenerate heat equation
- A quasi Tikhonov regularization for a two-dimensional backward heat problem by a fundamental solution
- Carleman Estimates for a Class of Degenerate Parabolic Operators
- Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
- An inverse backward problem for degenerate parabolic equations
- Numerical Solution of Partial Differential Equations
- Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
- Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type
- The problem of data assimilation for soil water movement
- Inverse problems for partial differential equations
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