New higher-order compact finite difference schemes for 1D heat conduction equations
From MaRDI portal
Publication:1789511
DOI10.1016/j.apm.2013.03.026zbMath1427.65163OpenAlexW1997378689WikidataQ59895372 ScholiaQ59895372MaRDI QIDQ1789511
Publication date: 10 October 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.026
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)
Related Items
A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations ⋮ Eighth-order compact finite difference scheme for 1D heat conduction equation ⋮ A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of \(n\)-dimensional Burgers' system ⋮ Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions ⋮ Dual-phase-lag analysis of CNT-MoS\(_2\)-ZrO\(_2\)-SiO\(_2\)-Si nano-transistor and arteriole in multi-layered skin ⋮ Fully discretized methods based on boundary value methods for solving diffusion equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Thermal lagging in multi-carrier systems
- Compact finite difference schemes with spectral-like resolution
- An improved compact finite difference scheme for solving an N-carrier system with Neumann boundary conditions
- Matched interface and boundary (MIB) for the implementation of boundary conditions in high-order central finite differences
