English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper a finite difference/local discontinuous Galerkin method for thefractional diffusion-wave equation is presented and analyzed. We first proposea new finite difference method to approximate the time fractional derivatives,and give a semidiscrete scheme in time with the truncation error $O((\Deltat)^2)$, where $\Delta t$ is the time step size. Further we develop a fullydiscrete scheme for the fractional diffusion-wave equation, and prove that themethod is unconditionally stable and convergent with order $O(h^{k+1}+(\Deltat)^{2})$, where $k$ is the degree of piecewise polynomial. Extensive numericalexamples are carried out to confirm the theoretical convergence rates.

Finite difference/local discontinuous Galerkin method for solving the fractional diffusion-wave equation