Accurate finite difference schemes for solving a 3D micro heat transfer model in an N-carrier system with the Neumann boundary condition in spherical coordinates

DOI10.1016/j.cam.2010.07.017zbMath1208.65135OpenAlexW2061513222MaRDI QIDQ708307

Di Zhao, Weizhong Dai

Publication date: 11 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.07.017

zbMATH Keywords

stabilityconvergencenumerical exampleserror boundsNeumann boundary conditionsCrank-Nicolson difference scheme\(N\)-carrier systemmicro heat transfer model

Mathematics Subject Classification ID

Related Items (5)

Local discontinuous Galerkin method for solving anN-carrier system ⋮ Eighth-order compact finite difference scheme for 1D heat conduction equation ⋮ A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations ⋮ A high‐order ADI finite difference scheme for a 3D reaction‐diffusion equation with neumann boundary condition ⋮ New higher-order compact finite difference schemes for 1D heat conduction equations

Cites Work

• Thermal lagging in multi-carrier systems
• Compact finite difference schemes with spectral-like resolution
• On departure from local thermal equilibrium in porous media due to a rapidly changing heat source: The Sparrow number
• Matched interface and boundary (MIB) for the implementation of boundary conditions in high-order central finite differences
• A fourth-order compact finite difference scheme for solving anN-carrier system with Neumann boundary conditions
• A compact local one‐dimensional scheme for solving a 3D N‐carrier system with Neumann boundary conditions
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