Investigation and analysis of the numerical approach to solve the multi-term time-fractional advection-diffusion model

Investigation and analysis of the numerical approach to solve the multi-term time-fractional advection-diffusion model

In this paper, a methodical approach is presented to approximate the multi-term fractional advection-diffusion model (MT-FAD). The Lagrange squared interpolation is used to discretize temporal fractional derivatives, and Legendre polynomials are shifted as an operator to discretize the spatial fract...

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Bibliographic Details
Main Authors: Yones Esmaeelzade Aghdam, Hamid Mesgarani, Zeinab Asadi, Van Thinh Nguyen
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:AIMS Mathematics
Subjects:
multi-term fractional advection-diffusion model
collocation method
legendre polynomial
convergence analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231509?viewType=HTML

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