On the optimisation of discretising steps in the space and time domains along with over‐relaxation parameter in the finite difference solution of the transient heat‐flow equation
DOI10.1108/03321640010347394zbMath0995.65086OpenAlexW2010175597MaRDI QIDQ2703149
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Publication date: 1 July 2002
Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/03321640010347394
error boundfinite differencegrid optimizationoptimal overrelaxation parametersuccessive-overrelaxation methodtransient heat flow equation
Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Cites Work
- Conjugate direction methods for solving systems of linear equations
- The Determination of the Optimum Accelerating Factor for Successive Over-relaxation
- A practical technique for the determination of the optimum relaxation factor of the successive over-relaxation method
- Iterative Methods for Linear Equations with Symmetric Positive Definite Matrix
- ON REGIONAL OPTIMISATION OF GRID AND RELAXATION PARAMETER FOR FINITE DIFFERENCE SOLUTION OF POISSONS' EQUATION IN REVERSE BIASED PLANAR TYPE p‐n JUNCTIONS
- Iterative Solution of Implicit Approximations of Multidimensional Partial Differential Equations
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