A class of new successive permutation iterative algorithms for diffusion equation

DOI10.1080/10236198.2021.1985482zbMath1481.65166OpenAlexW3202599338MaRDI QIDQ5016819

Qiuyan Xu, Zhi-yong Liu

Publication date: 13 December 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2021.1985482

zbMATH Keywords

stabilitydiffusion equationsuccessive permutation iterationgrowth matrixfull-implicit scheme

Mathematics Subject Classification ID

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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

A class of new successive permutation iterative algorithms with the relaxation factor for radiation diffusion equation ⋮ Fast successive permutation iterative algorithms for solving convection diffusion equation

Cites Work

• Alternating direction methods for three space variables
• New techniques in designing finite-difference domain decomposition algorithm for the heat equation
• A class of domain decomposition based nonlinear explicit-implicit iteration algorithms for solving diffusion equations with discontinuous coefficient
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
• Group explicit methods for parabolic equations
• Efficient Parallel Algorithms for Parabolic Problems
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