High accuracy finite difference scheme for three-dimensional microscale heat equation

DOI10.1016/j.cam.2007.08.010zbMath1146.65065OpenAlexW2066197024MaRDI QIDQ939534

Akil J. Harfash

Publication date: 22 August 2008

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.2007.08.010

zbMATH Keywords

stabilityfinite differenceCrank-Nicolson methodfourth order compactthree-dimensional heat transport equation

Mathematics Subject Classification ID

Related Items (1)

Unified compact ADI methods for solving nonlinear viscous and nonviscous wave equations

Cites Work

• Alternating direction and semi-explicit difference methods for parabolic partial differential equations
• High accuracy stable numerical solution of 1D microscale heat transport equation
• An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrödinger Equation with a Variable Coefficient
• Heat waves
• Unconditionally stable finite difference scheme and iterative solution fo 2D microscale heat transport equation
• Iterative solution and finite difference approximations to 3D microscale heat transport equation

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