The virtual element method for the time fractional convection diffusion reaction equation with non-smooth data

Y Zhang, M Feng - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, we develop an efficient virtual element method to solve the two-dimension time
fractional convection diffusion reaction equation involving the Caputo fractional derivative …

The Rayleigh–Stokes Problem for a Heated Generalized Second‐Grade Fluid with Fractional Derivative: An Implicit Scheme via Riemann–Liouville Integral

AH Ganie, AM Saeed, S Saeed… - Mathematical Problems in …, 2022 - Wiley Online Library
The goal of this study is to use the fast algorithm to solve the Rayleigh–Stokes problem for
heated generalized second‐grade fluid (RSP‐HGSGF) with Riemann–Liouville time …

A high-order compact finite difference method and its extrapolation for fractional mobile/immobile convection–diffusion equations

YM Wang - Calcolo, 2017 - Springer
This paper is concerned with high-order numerical methods for a class of fractional
mobile/immobile convection–diffusion equations. The convection coefficient of the equation …

On the Numerical Approximation of Three‐Dimensional Time Fractional Convection‐Diffusion Equations

Kamran, R Kamal, G Rahmat… - Mathematical Problems in …, 2021 - Wiley Online Library
In this paper, we present an efficient method for the numerical investigation of three‐
dimensional non‐integer‐order convection‐diffusion equation (CDE) based on radial basis …

Galerkin finite element method for time-fractional stochastic diffusion equations

G Zou - Computational and Applied Mathematics, 2018 - Springer
In this paper, Galerkin finite element method for solving the time-fractional stochastic
diffusion equations with multiplicative noise is proposed and investigated. The pathwise …

[PDF][PDF] Approximation of Caputo time-fractional diffusion equation using redefined cubic exponential B-spline collocation technique

M Tamsir, N Dhiman, D Nigam, A Chauhan - AIMS Mathematics, 2021 - academia.edu
The purpose of this work is to find the numerical solution of the Caputo timefractional
diffusion equation using the modified cubic exponential B-spline (CExpB-spline) collocation …

Stability analysis and error estimates of implicit–explicit Runge–Kutta local discontinuous Galerkin methods for nonlinear fractional convection–diffusion problems

T Aboelenen - Computational and Applied Mathematics, 2022 - Springer
In this paper, we shall present three fully discrete local discontinuous Galerkin (LDG)
methods, coupled with implicit–explicit (IMEX) time discretization up to three order, for …

A new high order ADI numerical difference formula for time-fractional convection-diffusion equation

L Wu, S Zhai - Applied Mathematics and Computation, 2020 - Elsevier
Based on exponential transformation, quadratic interpolation polynomial and Padé
approximation, a new high order finite difference scheme is proposed for solving the two …

A block-centered finite-difference method for the time-fractional diffusion equation on nonuniform grids

S Zhai, X Feng - Numerical Heat Transfer, Part B: Fundamentals, 2016 - Taylor & Francis
In this article, a block-centered finite-difference scheme is introduced to solve the time-
fractional diffusion equation with a Caputo derivative of order α∈(0, 1) on nonuniform grids …

Modified implicit fractional difference scheme for 2D modified anomalous fractional sub-diffusion equation

U Ali, FA Abdullah, ST Mohyud-Din - Advances in Difference Equations, 2017 - Springer
In this paper, we solve two-dimensional modified anomalous fractional sub-diffusion
equation using modified implicit finite difference approximation. The stability and …