Crank-Nicolson finite difference method for two-dimensional diffusion with an integral condition

DOI10.1016/S0096-3003(00)00031-XzbMath1024.65076OpenAlexW2011305520MaRDI QIDQ1855072

Mehdi Dehghan

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00031-x

zbMATH Keywords

stabilityheat equationerror estimatesfinite difference methoddiffusion equationCrank-Nicolson schemecentral processor timenon-classic boundary value problems

Mathematics Subject Classification ID

Heat equation (35K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem ⋮ A linearized compact difference scheme for an one-dimensional parabolic inverse problem ⋮ New algorithm for nonclassical parabolic problems based on the reproducing kernel method ⋮ A numerical method for two-dimensional inverse heat conduction problems ⋮ Well-posedness of the right-hand side identification problem for a parabolic equation ⋮ New method based on the HPM and RKHSM for solving forced Duffing equations with integral boundary conditions ⋮ Finding a control parameter in one-dimensional parabolic equations

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