A numerical method for solving of a nonlinear inverse diffusion problem

DOI10.1016/j.camwa.2006.03.026zbMath1125.65341OpenAlexW2095162664MaRDI QIDQ2458519

Yanyan Li

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.03.026

zbMATH Keywords

least-squares methodnumerical examplesfinite-difference methoddiffusion coefficientnonlinear inverse diffusion problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Cites Work

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• Application of the finite difference method to analyse an ill-posed problem
• An Inverse Problem for a Nonlinear Diffusion Equation
• Monotonicity and Uniqueness Results in Identifying an Unknown Coefficient in a Nonlinear Diffusion Equation
• Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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