Stability analysis and error estimates of local discontinuous Galerkin method for nonlinear fractional Ginzburg–Landau equation with the fractional Laplacian
Author:
Publisher
Springer Science and Business Media LLC
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,General Materials Science
Link
https://link.springer.com/content/pdf/10.1140/epjs/s11734-023-00921-6.pdf
Reference45 articles.
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2. T. Aboelenen, A high-order nodal discontinuous Galerkin method for nonlinear fractional Schrödinger type equations. Commun. Nonlinear Sci. Numer. Simul. 54, 428–452 (2018)
3. T. Aboelenen, Stability analysis and error estimates of implicit-explicit Runge–Kutta local discontinuous galerkin methods for nonlinear fractional convection-diffusion problems. Comput. Appl. Math. 41(6), 256 (2022)
4. T. Aboelenen, H. El-Hawary, A high-order nodal discontinuous Galerkin method for a linearized fractional Cahn–Hilliard equation. Comput. Math. Appl. 73(6), 1197–1217 (2017)
5. M. Ahmadinia, Z. Safari, Convergence analysis of a LDG method for tempered fractional convection-diffusion equations. ESAIM Math. Model. Numer. Anal. 54(1), 59–78 (2020)
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1. Recent advancement of fractional calculus and its applications in physical systems;The European Physical Journal Special Topics;2023-10-30
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