A stable numerical algorithm for identifying the solution of an inverse problem

DOI10.1016/j.amc.2007.01.022zbMath1147.65074OpenAlexW1999568028MaRDI QIDQ2383747

J. Damirchi, Abdollah Shidfar, P. Reihani Ardabili

Publication date: 19 September 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.01.022

zbMATH Keywords

stabilityChebyshev polynomialsleast-squaresfinite-difference schemeinverse parabolic problem

Mathematics Subject Classification ID

Heat equation (35K05) 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) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (10)

Numerical investigation of an inverse problem based on regularization method ⋮ Some properties of orthogonal linear splines and their applications to inverse problems ⋮ Stabilized solution for a time-fractional inverse problem with an unknown nonlinear condition ⋮ Finite volume method for solving a one-dimensional parabolic inverse problem ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems ⋮ The complex variable reproducing kernel particle method for two-dimensional inverse heat conduction problems ⋮ Cardinal Hermite interpolant multiscaling functions for solving a parabolic inverse problem ⋮ Numerical algorithms to estimate relaxation parameters and Caputo fractional derivative for a fractional thermal wave model in spherical composite medium ⋮ Application of sinc-collocation method for solving an inverse problem ⋮ Stability and regularization of a backward parabolic PDE with variable coefficients

Cites Work

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• Residual-minimization least-squares method for inverse heat conduction
• An inverse heat conduction problem with a nonlinear source term
• Determination of an unknown forcing function in a hyperbolic equation from overspecified data
• Numerical solution of inverse heat conduction problem with nonstationary measurements
• Structural identification of an unknown source term in a heat equation
• Introduction to Partial Differential Equations
• An inverse problem for a nonlinear diffusion equation

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