Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay
- Author
- A. S. Hendy and Rob De Staelen (UGent)
- Organization
- Abstract
- In this paper, we introduce a high order numerical approximation method for convection diffusion wave equations armed with a multiterm time fractional Caputo operator and a nonlinear fixed time delay. A temporal second-order scheme which is behaving linearly is derived and analyzed for the problem under consideration based on a combination of the formula of L2-1 sigma and the order reduction technique. By means of the discrete energy method, convergence and stability of the proposed compact difference scheme are estimated unconditionally. A numerical example is provided to illustrate the theoretical results.
- Keywords
- fractional convection diffusion-wave equations, compact difference scheme, nonlinear delay, spatial variable coefficients, convergence and stability, PARABOLIC EQUATIONS, COMPACT, SCHEME
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-8676523
- MLA
- Hendy, A. S., and Rob De Staelen. “Theoretical Analysis (Convergence and Stability) of a Difference Approximation for Multiterm Time Fractional Convection Diffusion-Wave Equations with Delay.” MATHEMATICS, vol. 8, no. 10, 2020, doi:10.3390/math8101696.
- APA
- Hendy, A. S., & De Staelen, R. (2020). Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay. MATHEMATICS, 8(10). https://doi.org/10.3390/math8101696
- Chicago author-date
- Hendy, A. S., and Rob De Staelen. 2020. “Theoretical Analysis (Convergence and Stability) of a Difference Approximation for Multiterm Time Fractional Convection Diffusion-Wave Equations with Delay.” MATHEMATICS 8 (10). https://doi.org/10.3390/math8101696.
- Chicago author-date (all authors)
- Hendy, A. S., and Rob De Staelen. 2020. “Theoretical Analysis (Convergence and Stability) of a Difference Approximation for Multiterm Time Fractional Convection Diffusion-Wave Equations with Delay.” MATHEMATICS 8 (10). doi:10.3390/math8101696.
- Vancouver
- 1.Hendy AS, De Staelen R. Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay. MATHEMATICS. 2020;8(10).
- IEEE
- [1]A. S. Hendy and R. De Staelen, “Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay,” MATHEMATICS, vol. 8, no. 10, 2020.
@article{8676523,
abstract = {{In this paper, we introduce a high order numerical approximation method for convection diffusion wave equations armed with a multiterm time fractional Caputo operator and a nonlinear fixed time delay. A temporal second-order scheme which is behaving linearly is derived and analyzed for the problem under consideration based on a combination of the formula of L2-1 sigma and the order reduction technique. By means of the discrete energy method, convergence and stability of the proposed compact difference scheme are estimated unconditionally. A numerical example is provided to illustrate the theoretical results.}},
articleno = {{1696}},
author = {{Hendy, A. S. and De Staelen, Rob}},
issn = {{2227-7390}},
journal = {{MATHEMATICS}},
keywords = {{fractional convection diffusion-wave equations,compact difference scheme,nonlinear delay,spatial variable coefficients,convergence and stability,PARABOLIC EQUATIONS,COMPACT,SCHEME}},
language = {{eng}},
number = {{10}},
pages = {{20}},
title = {{Theoretical analysis (convergence and stability) of a difference approximation for multiterm time fractional convection diffusion-wave equations with delay}},
url = {{http://doi.org/10.3390/math8101696}},
volume = {{8}},
year = {{2020}},
}
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