Paper Info
Title
Meshless Upwind Local Radial Basis Function-Finite Difference Technique To Simulate The Time- Fractional Distributed-Order Advection-Diffusion Equation
Abstract
The main objective in this paper is to propose an efficient numerical formulation for solving the time-fractional distributed-order advection-diffusion equation. First, the distributed-order term has been approximated by the Gauss quadrature rule. In the next, a finite difference approach is applied to approximate the temporal variable with convergence order O(tau 2-alpha)as 0<alpha<1 $$0. Finally, to discrete the spacial dimension, an upwind local radial basis function-finite difference idea has been employed. In the numerical investigation, the effect of the advection coefficient has been studied in terms of accuracy and stability of the proposed difference scheme. At the end, two examples are studied to approve the impact and ability of the numerical procedure.
Year
DOI
Venue
2021
10.1007/s00366-019-00861-7
ENGINEERING WITH COMPUTERS
Keywords
DocType
Volume
Radial basis functions (RBFs), Finite difference (FD) scheme, Fractional convection&#8211, diffusion, Time-fractional distributed-order advection&#8211, diffusion equation, Local meshless method, Upwind method
Journal
37
Issue
ISSN
Citations 
2
0177-0667
2
PageRank 
References 
Authors
0.37
0
2
Name
Order
Citations
PageRank
Mostafa Abbaszadeh121318.53
Mehdi Dehghan23022324.48