TY - JOUR
T1 - A High-Order Difference Scheme for the Generalized Cattaneo Equation
AU - Seak-Weng Vong, Hong-Kui Pang & Xiao-Qing Jin
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 170
EP - 184
PY - 2018
DA - 2018/02
SN - 2
DO - http://doi.org/10.4208/eajam.110312.240412a
UR - https://global-sci.org/intro/article_detail/eajam/10914.html
KW - Fractional Cattaneo equation, $L_1$ approximation, compact finite difference, stability, convergence.
AB - <p style="text-align: justify;">A high-order finite difference scheme for the fractional Cattaneo equation
is investigated. The $L_1$ approximation is invoked for the time fractional part, and a
compact difference scheme is applied to approximate the second-order space derivative.
The stability and convergence rate are discussed in the maximum norm by the energy
method. Numerical examples are provided to verify the effectiveness and accuracy of
the proposed difference scheme.</p>