A compact integrated RBF method for time fractional convection-diffusion-reaction equations

DOI10.1016/j.camwa.2018.12.017zbMath1442.65297OpenAlexW2904039547WikidataQ110649211 ScholiaQ110649211MaRDI QIDQ2203928

Xinlong Feng, Yuanyang Qiao, Jianping Zhao

Publication date: 2 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.12.017

zbMATH Keywords

stability and convergenceshifted Grünwald formulaCIRBF methodtime fractional convection-diffusion-reaction equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items

Solving fractional Laplacian visco-acoustic wave equations on complex-geometry domains using Grünwald-formula based radial basis collocation method, Error estimate on the tanh meshes for the time fractional diffusion equation, Integrated radial basis functions to simulate modified anomalous sub‐diffusion equation, Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method, Simulating backward wave propagation in metamaterial with radial basis functions, A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation, Boundary Mittag-Leffler stabilization of coupled time fractional order reaction-advection-diffusion systems with non-constant coefficients, A Meshless Local Radial Point Collocation Method for Simulating the Time-Fractional Convection-Diffusion Equations on Surfaces, Initial value problem for the \((2+1)\)-dimensional time-fractional generalized convection-reaction-diffusion wave equation: invariant subspaces and exact solutions, Method of Order Reduction for the High-Dimensional Convection-Diffusion-Reaction Equation with Robin Boundary Conditions Based on MQ RBF-FD, A leap-frog meshless method with radial basis functions for simulating electromagnetic wave splitter and rotator

Uses Software

• rbf_qr

Cites Work

• Unnamed Item
• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• An unconditionally stable compact ADI method for three-dimensional time-fractional convection-diffusion equation
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
• A new difference scheme for the time fractional diffusion equation
• An implicit RBF meshless approach for time fractional diffusion equations
• Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
• New high-order compact ADI algorithms for 3D nonlinear time-fractional convection-diffusion equation
• Compact local integrated-RBF approximations for second-order elliptic differential problems
• Numerical analysis and physical simulations for the time fractional radial diffusion equation
• Optimal constant shape parameter for multiquadric based RBF-FD method
• Solving partial differential equations by collocation using radial basis functions
• Numerical solution of the space fractional Fokker-Planck equation.
• Stable computation of multiquadric interpolants for all values of the shape parameter
• The accuracy and stability of an implicit solution method for the fractional diffusion equation
• Finite difference/spectral approximations for the time-fractional diffusion equation
• A fully discrete difference scheme for a diffusion-wave system
• Weighted average finite difference methods for fractional diffusion equations
• Stable Computations with Gaussian Radial Basis Functions
• Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium
• Domain decomposition for radial basis meshless methods