A new fourth-order difference scheme for solving anN-carrier system with Neumann boundary conditions

DOI10.1080/00207160.2011.609592zbMath1247.65117OpenAlexW2074420415MaRDI QIDQ2885569

Huan-Wen Liu, Li-Bin Liu

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.609592

zbMATH Keywords

convergencenumerical examplesPadé approximationdifference schemeNeumann boundary conditionsenergy exchange\(N\)-carrier system

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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 (5)

Parallel hybrid PSO with CUDA for lD heat conduction equation ⋮ The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces ⋮ A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions ⋮ A compact fourth-order \(L\)-stable scheme for reaction-diffusion systems with nonsmooth data ⋮ Compact difference schemes for heat equation with Neumann boundary conditions (II)

Cites Work

• Thermal lagging in multi-carrier systems
• Compact finite difference schemes with spectral-like resolution
• A three-point combined compact difference scheme
• An improved compact finite difference scheme for solving an N-carrier system with Neumann boundary conditions
• Compact difference schemes for heat equation with Neumann boundary conditions
• A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film
• Compact ADI method for solving parabolic differential equations
• Fourth‐order compact schemes of a heat conduction problem with Neumann boundary conditions
• Fourth‐order compact schemes for solving multidimensional heat problems with Neumann boundary conditions

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