Meshfree methods for nonlinear equilibrium radiation diffusion equation

DOI10.1016/j.enganabound.2022.08.012WikidataQ113875136 ScholiaQ113875136MaRDI QIDQ6137922

Zhi-yong Liu, Rong Wang, Qiuyan Xu

Publication date: 16 January 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

zbMATH Keywords

Kansa's methodsuccessive permutation iterationcompactly supported radial basis functionequilibrium radiation diffusion equationfully-implicit discretization

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

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• A meshfree method for numerical solution of KdV equation
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
• Numerical solutions of systems of first-order, two-point BVPs based on the reproducing kernel algorithm
• Efficient solution of multi-dimensional flux-limited nonequilibrium radiation diffusion coupled to material conduction with second-order time discretization
• Solving the elliptic Monge-Ampère equation by Kansa's method
• Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted Meshes
• P₁Nonconforming Finite Element Multigrid Method for Radiation Transport
• Picard-Newton Iterative Method with Time Step Control for Multimaterial Non-Equilibrium Radiation Diffusion Problem
• Finite volume element methods for nonequilibrium radiation diffusion equations
• The computational method for nonlinear parabolic equation
• Multigrid approaches to non‐linear diffusion problems on unstructured meshes
• Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis