An iterative numerical method for an inverse source problem for a multidimensional nonlinear parabolic equation

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Semilinear parabolic equations (35K58)

Cites Work

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A note on the numerical solution of the semilinear Schrödinger equation
Finite difference method for the reverse parabolic problem
Regularization of an inverse nonlinear parabolic problem with time-dependent coefficient and locally Lipschitz source term
Numerical inversions for a nonlinear source term in the heat equation by optimal perturbation algorithm
Geometric theory of semilinear parabolic equations
Identification problems for systems of nonlinear evolution equations and functional equations
Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
An integral constrained parabolic problem with applications in thermochronology
Reconstructing the right-hand side of a fractional subdiffusion equation from the final data
Identification of an unknown flexural rigidity of a cantilever Euler-Bernoulli beam from measured boundary deflection
Uniqueness of the solution of the inverse problem for a model of the dynamics of an age-structured population
An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
On the numerical solutions of some identification problems for one- and multidimensional parabolic equations backward in time
Mathematical modeling of the Wuhan COVID-2019 epidemic and inverse problems
Recovery of a space-dependent vector source in anisotropic thermoelastic systems
On the numerical solution of a fractional population growth model
Regularization of backward time-fractional parabolic equations by Sobolev-type equations
Uniqueness and stability analysis of final data inverse source problems for evolution equations
Determination of a space-dependent source in the thermal-wave model of bio-heat transfer
Uniqueness in inverse boundary value problems for fractional diffusion equations
A note on the numerical solution of an identification problem for observing two-phase flow in capillaries
On the problem of determining the parameter of a parabolic equation
Recovery of a space-dependent vector source in thermoelastic systems
Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source
Investigation of a Time-Dependent Source Identification Inverse Problem with Integral Overdetermination
Recovering a Time-Dependent Diffusion Coefficient from Nonlocal Data
Convergent numerical methods for parabolic equations with reversed time via a new Carleman estimate
An iterative method for backward time‐fractional diffusion problem
Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
Regularization of a nonlinear inverse problem by discrete mollification method
Existence and uniqueness results for an inverse problem for a semilinear equation with final overdetermination
Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem
Analysis for two-dimensional inverse quasilinear parabolic problem by Fourier method
DETERMINATION OF FRACTIONAL ORDER AND SOURCE TERM IN SUBDIFFUSION EQUATIONS
Existence and uniqueness of an inverse problem for nonlinear Klein‐Gordon equation
On an inverse problem of reconstructing a subdiffusion process from nonlocal data

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