Semi-discretized numerical solution for time fractional convectiondiffusion equation by RBF-FD

J Liu, J Zhang, X Zhang - Applied Mathematics Letters, 2022 - Elsevier
… [9], [10], [11], spectral methods [12], [13], meshless methods [14], [15], [16]. In this paper, we
consider the Caputo time fractional convectiondiffusion equation to the following (1.1) ∂ α u …

Numerical approximation of time-dependent fractional convection-diffusion-wave equation by RBF-FD method

X Zhang, L Yao - Engineering Analysis with Boundary Elements, 2021 - Elsevier
… The meshless methods based on RBF or RBF-FD for fractional partial differential equations,
… In this paper, we consider the Caputo time fractional convection-diffusion-wave equation (…

A RBF-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation

J Liu, X Li, X Hu - Journal of Computational Physics, 2019 - Elsevier
… numerical method for the time fractional advection-diffusion equation. The fractional
advection-diffusion equation is … A general two-dimensional convection-diffusion equation applying …

[HTML][HTML] A compact integrated RBF method for time fractional convectiondiffusion–reaction equations

Y Qiao, J Zhao, X Feng - Computers & Mathematics with Applications, 2019 - Elsevier
… [20] presented an effective RBF-FD method for the high dimensional time fractional … a local
CIRBF method for the time fractional convectiondiffusion–reaction equation. In Section 3, we …

A fast finite difference/RBF meshless approach for time fractional convection-diffusion equation with non-smooth solution

H Qiao, A Cheng - Engineering Analysis with Boundary Elements, 2021 - Elsevier
… (RBF-FD) method for high-dimensional time fractionaltime fractional convection-diffusion
equation with singular solutions at the initial moment are studied by the RBF meshless method. …

An RBF-FD method for the time-fractional advection–dispersion equation with nonlinear source term

MA Londoño, R Giraldo, FJ Rodríguez-Cortés - Engineering Analysis with …, 2023 - Elsevier
… For general bounded domains and higher dimensional space, [23], [24] provide … -dimensional
domains [30] introduce a meshless method to solve a time-fractional convectiondiffusion–…

Method of order reduction for the high-dimensional convection-diffusion-reaction equation with Robin boundary conditions based on MQ RBF-FD

J Li, Z Gao, X Feng, Y He - … Journal of Computational Methods, 2020 - World Scientific
… This paper will be based on the MQ RBF-FD. In the interpolation of 2D scatter data, MQ RBF
… MQ RBF-FD to the method of order reduction for the convection-diffusion-reaction equation

The characteristic RBF-FD method for the convection-diffusion-reaction equation on implicit surfaces

F Zhao, J Li, X Xiao, X Feng - Numerical Heat Transfer, Part A …, 2019 - Taylor & Francis
… developed can combine the merits of characteristic lines and RBF-FD. In this article, the
method is mainly used to solve the convection-diffusion-reaction equation. To deal with such …

Optimal control of time-fractional convectiondiffusion–reaction problem employing compact integrated RBF method

M Mahmoudi, T Shojaeizadeh, M Darehmiraki - Mathematical Sciences, 2023 - Springer
… utilizing different methods. The present study introduces a new method for solving the
optimal control problem of time-fractional convectiondiffusion–reaction using local compact …

Stable numerical algorithm with localized radial basis function for solution of fractional convectiondiffusion–reaction equation

M Haghi, R Mollapourasl - Engineering Analysis with Boundary Elements, 2023 - Elsevier
… first approximate the time fractional derivative of nonlinear Schrödinger equation by a … In
this section, our aim is applying the RBF-FD method equipped with greedy algorithm to select …