TY - JOUR T1 - A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates AU - Gao , Guang-Hua AU - Liu , Rui JO - East Asian Journal on Applied Mathematics VL - 4 SP - 703 EP - 722 PY - 2019 DA - 2019/10 SN - 9 DO - http://doi.org/10.4208/eajam.171118.060119 UR - https://global-sci.org/intro/article_detail/eajam/13328.html KW - Compact difference scheme, multi-term fractional derivatives, spatial fourth-order derivative, stability, convergence. AB -

A spatial compact difference scheme for a class of fourth-order temporal multi-term fractional wave equations is developed. The original problem is reduced to a lower order system and the corresponding time fractional derivatives are approximated by the $L$1-formula. The unconditional stability and convergence of the difference scheme are proved by the energy method. Numerical experiments support theoretical results.