Geodesic
Finite difference method for Riesz space fractional diffusion equations with delay and a nonlinear source term
Yang, Shuiping1
1 School of Mathematics and Big Data Science, Huizhou University, Guangdong, 516007, China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 1, p. 17-25.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we propose a finite difference method for the Riesz space fractional diffusion equations with delay and a nonlinear source term on a finite domain. The proposed method combines a time scheme based on the predictor-corrector method and the Crank-Nicolson scheme for the spatial discretization. The corresponding theoretical results including stability and convergence are provided. Some numerical examples are presented to validate the proposed method.
DOI : 10.22436/jnsa.011.01.03
Classification : 34K28, 65M12, 35R11, 34K37
Keywords: Riesz fractional derivative, fractional diffusion equations, Crank-Nicolson scheme, stability, convergence

Yang, Shuiping 1

1 School of Mathematics and Big Data Science, Huizhou University, Guangdong, 516007, China 
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Yang, Shuiping. Finite difference method for Riesz space fractional diffusion equations with delay and a nonlinear source term. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 1, p. 17-25. doi : 10.22436/jnsa.011.01.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.01.03/

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