Convergence and stability estimates in difference setting for time‐fractional parabolic equations with functional delay-Reference-Cited by-同舟云学术

Convergence and stability estimates in difference setting for time‐fractional parabolic equations with functional delay

Published:2019-08-10 Issue:1 Volume:36 Page:118-132
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Hendy Ahmed S.¹²,Pimenov Vladimir G.¹³,Macías‐Díaz Jorge E.⁴^ORCID

Affiliation:

1. Department of Mathematics, Faculty of ScienceBenha University Benha Egypt

2. Department of Computational Mathematics and Computer ScienceInstitute of Natural Sciences and Mathematics, Ural Federal University Yekaterinburg Russia

3. Ural Branch of the Russian Academy of SciencesInstitute of Mathematics and Mechanics Yekaterinburg Russia

4. Departamento de Matemáticas y FísicaUniversidad Autónoma de Aguascalientes Aguascalientes Mexico

Funder

Consejo Nacional de Ciencia y Tecnología

RFBR

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22421

Reference29 articles.

1. Implicit difference approximation for the time fractional diffusion equation

2. Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

3. A stable numerical method for multidimensional time fractional Schrödinger equations

4. Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain

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