Numerical computation of a control function in a partial differential equation.

DOI10.1016/S0096-3003(02)00733-6zbMath1033.65081OpenAlexW2100114803WikidataQ115339739 ScholiaQ115339739MaRDI QIDQ1412612

Mehdi Dehghan

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00733-6

zbMATH Keywords

numerical experimentsCrank-Nicolson schemeInverse problemcontrol functionorder of accuracyParabolic partial differential equationsControl parameterExplicit techniquesImplicit methodsFinite-difference schemesPredictor-corrector procedureThree-dimensional diffusion

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Control/observation systems governed by partial differential equations (93C20) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) 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 (5)

The Legendre-tau technique for the determination of a source parameter in a semilinear parabolic equation ⋮ Finite volume method for solving a one-dimensional parabolic inverse problem ⋮ On the second order implicit difference schemes for a right hand side identification problem ⋮ A new technique for solution of a parabolic inverse problem ⋮ ON DETERMINATION OF MINOR COEFFICIENT IN A PARABOLIC EQUATION OF THE SECOND ORDER

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