Discrete monotone method for space-fractional nonlinear reaction–diffusion equations

Discrete monotone method for space-fractional nonlinear reaction–diffusion equations

Abstract A discrete monotone iterative method is reported here to solve a space-fractional nonlinear diffusion–reaction equation. More precisely, we propose a Crank–Nicolson discretization of a reaction–diffusion system with fractional spatial derivative of the Riesz type. The finite-difference sche...

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Bibliographic Details
Main Authors: Salvador Flores, Jorge E. Macías-Díaz, Ahmed S. Hendy
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Advances in Difference Equations
Subjects:
Space-fractional diffusion–reaction equations
Crank–Nicolson finite-difference scheme
Discrete monotone iterative method
Existence and uniqueness of solutions
Numerical efficiency analysis
Online Access:http://link.springer.com/article/10.1186/s13662-019-2267-1

Internet

http://link.springer.com/article/10.1186/s13662-019-2267-1

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