Approximate solutions of the 2D space-time fractional diffusion equation via a gradient-descent iterative algorithm with Grünwald-Letnikov approximation

Approximate solutions of the 2D space-time fractional diffusion equation via a gradient-descent iterative algorithm with Grünwald-Letnikov approximation

We consider the two-dimensional space-time fractional differential equation with the Caputo's time derivative and the Riemann-Liouville space derivatives on bounded domains. The equation is subjected to the zero Dirichlet boundary condition and the zero initial condition. We discretize the equa...

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Bibliographic Details
Main Authors: Adisorn Kittisopaporn, Pattrawut Chansangiam
Format: Article
Language:English
Published: AIMS Press 2022-02-01
Series:AIMS Mathematics
Subjects:
fractional derivatives
fractional diffusion equation
grünwald-letnikov approximation
gradient descent
iterative method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022472?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022472?viewType=HTML

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