TY - JOUR
T1 - A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations
AU - Zhang , Chunhua
AU - Sun , Haiwei
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 604
EP - 617
PY - 2021
DA - 2021/05
SN - 11
DO - http://doi.org/10.4208/eajam.271120.310321
UR - https://global-sci.org/intro/article_detail/eajam/19144.html
KW - Combined compact difference method, finite difference method, nonlinear time fractional Klein-Gordon equation.
AB - <p style="text-align: justify;">A numerical method for nonlinear time fractional Klein-Gordon equations is
studied. Discretising spatial and temporal variables by a combined compact difference
and a weighted approximation, respectively, we develop a linearised method for the
equations under consideration. It has at least sixth-order accuracy in space and second-order accuracy in time. Numerical examples demonstrate the effectiveness and accuracy
of the method.</p>