A weighted-upwind generalized finite difference (WU-GFD) scheme with high-order accuracy for solving convection-dominated problems

DOI10.1016/j.aml.2023.108970MaRDI QIDQ6202743

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Publication date: 27 February 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

upwind schememeshless methodconvection-dominatedgeneralized finite difference methodweighted-upwind

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• An upwind finite difference scheme for meshless solvers
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• Variational multiscale virtual element method for the convection-dominated diffusion problem
• Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials
• High-order meshless method based on the generalized finite difference method for 2D and 3D elliptic interface problems
• An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications
• A stabilized RBF finite difference method for convection dominated flows over meshfree nodes
• The space-time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• On the solution of nonlinear hyperbolic differential equations by finite differences
• Solving subsurface flow toward wells in layered soils using hybrid method of fundamental solutions

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