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 - <p style="text-align: justify;">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.</p>