Approximate solution of inverse problems for the heat equation with a singular perturbation
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Publication:2066328
DOI10.1134/S0965542521120071zbMath1481.35398OpenAlexW4206646375MaRDI QIDQ2066328
Publication date: 14 January 2022
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542521120071
heat equationsingular perturbationinverse problemsapproximate solutionrecovery of boundary or initial data
Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)
Related Items (4)
Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem ⋮ Approximation of the solution of an inverse problem for a singularly perturbed system of partial differential equations ⋮ Approximate solution of an inverse problem for a singularly perturbed integro-differential heat equation ⋮ On the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusion
Cites Work
- Numerical determination of the initial condition in Cauchy problems for a hyperbolic equation with a small parameter
- Numerical solution of inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
- Numerical methods for solving inverse problems of mathematical physics.
- Definitions and examples of inverse and ill-posed problems
- Asymptotic expansions of solutions to inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
- Inverse problems for partial differential equations
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