Eighth-order compact finite difference scheme for 1D heat conduction equation

DOI10.1155/2016/8376061zbMath1422.65197OpenAlexW2405780773WikidataQ59123155 ScholiaQ59123155MaRDI QIDQ1750809

Ali Saleh Alshomrani, Malik Zaka Ullah, Shafiq Ur Rehman, Asma Yosaf, Fayyaz Ahmad

Publication date: 23 May 2018

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/8376061

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)

Related Items (2)

A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations ⋮ Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions

Cites Work

• 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
• New higher-order compact finite difference schemes for 1D heat conduction equations
• 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
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