Stability analysis and error estimates of implicit–explicit Runge–Kutta local discontinuous Galerkin methods for nonlinear fractional convection–diffusion problems-Reference-Cited by-同舟云学术

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

Published:2022-07-22 Issue:6 Volume:41 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Aboelenen Tarek^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-022-01954-8.pdf

Reference54 articles.

1. Aboelenen T (2017) A direct discontinuous Galerkin method for fractional convection–diffusion and schrödinger type equations. arXiv:1708.04546

2. Aboelenen T (2018) A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations. Commun Nonlinear Sci Numer Simul 54:428–452

3. Aboelenen T (2018) Local discontinuous Galerkin method for distributed-order time and space-fractional convection–diffusion and Schrödinger-type equations. Nonlinear Dyn 92:395–413

4. Aboelenen T (2020) Discontinuous Galerkin methods for fractional elliptic problems. Comput Appl Math 39:1–23

5. Aboelenen T, Bakr S, El-Hawary H (2015) Fractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domain. Int J Comput Math 1–27

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