Abstract
Based on the linearized techniques, a high-order linearized compact difference method is proposed for a class of nonlinear fractional mobile/immobile diffusion equations. In the proposed scheme, firstly a second e-order difference approximation is employed to approximate the time first derivative and Caputo time fractional derivative and then the spatial derivative is discretized by a fourth-order compact difference approximation. The convergence order of the resulting linearized compact difference method is $\mathcal{O}\left( {{\tau ^2} + {h^4}} \right)$ , where τ and h are the temporal and spatial steps, respectively. Numerical experiments are conducted to demonstrate the efficiency and accuracy of the proposed method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.