Numerical analysis of an ill-posed Cauchy problem for a convection--diffusion equation

DOI10.1080/17415970600557299zbMath1202.76134OpenAlexW2030370348MaRDI QIDQ3062520

Zohreh Ranjbar, Lars Eldén

Publication date: 28 December 2010

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970600557299

zbMATH Keywords

inverse problemCauchy problemsingular value decompositionill-posedVolterra integral operatorconvection--diffusion equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25) Diffusion and convection (76R99)

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Implementation of DRBEM for the determination of the heat flux in an inverse problem ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic

Cites Work

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• Numerical Solution of First-Kind Volterra Equations by Sequential Tikhonov Regularization
• Wavelet and Fourier Methods for Solving the Sideways Heat Equation
• A spectral method for solving the sideways heat equation
• Numerical solution of the sideways heat equation by difference approximation in time

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