A space-time backward substitution method for three-dimensional advection-diffusion equations

DOI10.1016/j.camwa.2021.05.025OpenAlexW3169110476MaRDI QIDQ2047562

Yi Xu, Yuhui Zhang, Ji Lin, Hong-Guang Sun

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.025

zbMATH Keywords

meshless method3D ADEspace-time radial basis function

Mathematics Subject Classification ID

Related Items (2)

A novel meshless method based on RBF for solving variable-order time fractional advection-diffusion-reaction equation in linear or nonlinear systems ⋮ Space-time backward substitution method for nonlinear transient heat conduction problems in functionally graded materials

Cites Work

• A scale-dependent finite difference approximation for time fractional differential equation
• Improved accuracy of multiquadric interpolation using variable shape parameters
• Miscellaneous error bounds for multiquadric and related interpolators
• Application of the multiquadric method for numerical solution of elliptic partial differential equations
• The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
• A meshless radial basis function method for steady-state advection-diffusion-reaction equation in arbitrary 2D domains
• Numerical simulation for a three-dimensional air pollution measurement model in a heavy traffic area under the Bangkok sky train platform
• A novel space-time meshless method for nonhomogeneous convection-diffusion equations with variable coefficients
• Numerical simulation to air pollution emission control near an industrial zone
• Multizone decomposition for simulation of time-dependent problems using the multiquadratic scheme
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Simulation of linear and nonlinear advection-diffusion-reaction problems by a novel localized scheme
• Analyzing 3D advection-diffusion problems by using the dimension splitting element-free Galerkin method
• Least‐squares collocation meshless method
• A semi-discrete finite element method for a class of time-fractional diffusion equations
• Global space-time multiquadric method for inverse heat conduction problem
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Quasi-dual reciprocity boundary-element method for incompressible flow: Application to the diffusive-advective equation
• Stability of a finite volume element method for the time‐fractional advection‐diffusion equation

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