Abstract
A high order numerical method is constructed for the two-dimensional nonlinear two-sided space distributed-order diffusion equation, in which the distributed-order integral is approximated by the Gauss-Legendre quadrature formula, the time and space are discretized by the general linear method and spectral Galerkin method, respectively. The proposed method is proved to be stable and convergent of order p in time, when the nonlinear term satisfies the local Lipschitz condition and the general linear method with generalized stage order p is coercive and algebraically stable. Moreover, the optimal error estimates in distributed-order integral and in space are also obtained. Finally, numerical experiments are presented to illustrate the theoretical estimates.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
