Stable numerical solution of a fractional-diffusion inverse heat conduction problem
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Publication:2519623
DOI10.1016/j.camwa.2006.05.027zbMath1152.65463OpenAlexW1970573106MaRDI QIDQ2519623
Publication date: 27 January 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.05.027
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)
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Cites Work
- Unnamed Item
- Unnamed Item
- Numerical solution of the space fractional Fokker-Planck equation.
- Finite difference approximations for fractional advection-dispersion flow equations
- On the stable numerical evaluation of Caputo fractional derivatives
- A general solution of the diffusion equation for semiinfinite geometries
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