Determination of a control parameter in a one-dimensional parabolic equation using the moving least-square approximation

DOI10.1080/00207160701481429zbMath1149.65080OpenAlexW2052576091MaRDI QIDQ3526049

Rong-Jun Cheng

Publication date: 24 September 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701481429

zbMATH Keywords

comparison of methodsinverse problemparabolic equationmeshless methodmoving least-square approximationoverspecification

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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 (6)

A local meshless procedure to determine the unknown control parameter in the multi-dimensional inverse problems ⋮ A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point ⋮ Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation ⋮ A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem ⋮ High-order scheme for determination of a control parameter in an inverse problem from the over-specified data ⋮ Collocation method based on shifted Chebyshev and radial basis functions with symmetric variable shape parameter for solving the parabolic inverse problem

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