Identifying a control function in two-dimensional parabolic inverse problems

DOI10.1016/S0096-3003(02)00369-7zbMath1022.65111MaRDI QIDQ1399802

Mehdi Dehghan

Publication date: 30 July 2003

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

zbMATH Keywords

stabilityinverse problemparabolic partial differential equationscontrol parameterfinite difference formulaparabolic inverse problemsimplicit methodsoverspecified boundary dataexplicit techniquesSaulyev's schemessource control parameters

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (10)

A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems ⋮ Analysis for two-dimensional inverse quasilinear parabolic problem by Fourier method ⋮ DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs ⋮ Recovering the Reaction Coefficient in a Linear Parabolic Equation ⋮ Two-dimensional inverse quasilinear parabolic problem with periodic boundary condition ⋮ The use of Jacobi wavelets for constrained approximation of rational Bézier curves ⋮ Method of lines solutions of the parabolic inverse problem with an overspecification at a point ⋮ Legendre multiscaling functions for solving the one-dimensional parabolic inverse problem ⋮ A greedy MLPG method for identifying a control parameter in 2D parabolic PDEs ⋮ A numerical algorithm for determination of a control parameter in two-dimensional parabolic inverse problems

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