Control parameter estimation in a semi-linear parabolic inverse problem using a high accurate method
DOI10.1016/j.amc.2011.06.064zbMath1269.65095OpenAlexW2122555187MaRDI QIDQ654649
Publication date: 29 December 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.06.064
inverse problemnumerical examplessemilinear parabolic equationcontrol parametercompact finite differencecompact Runge-Kutta-convergence
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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Semilinear parabolic equations (35K58)
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Cites Work
- Unnamed Item
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- High-order compact solution of the one-dimensional heat and advection-diffusion equations
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement
- An inverse problem of finding a parameter in a semi-linear heat equation
- A class of nonlinear non-classical parabolic equations
- High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
- Method of lines solutions of the parabolic inverse problem with an overspecification at a point
- Fourth-order compact solution of the nonlinear Klein-Gordon equation
- Determination of source parameter in parabolic equations
- An inverse problem of finding a source parameter in a semilinear parabolic equation
- Finding a control parameter in one-dimensional parabolic equations
- Numerical solution of one-dimensional parabolic inverse problem
- Determination of a control function in three-dimensional parabolic equations
- On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem
- A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification
- A splitting up algorithm for the determination of the control parameter in multi dimensional parabolic problem
- Parameter determination in a partial differential equation from the overspecified data
- Numerical experiments in boundary-layer stability
- Inversion Theory for a Parameterized Diffusion Problem
- On a class of nonlinear parabolic equations with nonlinear trace type functionals
- Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
- Identification of a time-dependent coefficient in a partial differential equation subject to an extra measurement
- A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation
- Determination of a control parameter in the two-dimensional diffusion equation