TY - JOUR
T1 - The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems
AU - He , Liping
AU - Sun , Shunkai
JO - Journal of Computational Mathematics
VL - 5
SP - 753
EP - 768
PY - 2004
DA - 2004/10
SN - 22
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10301.html
KW - Burgers equation, Prediction-correction operator, Legendre collocation approximation, Convergence, Numerical results.
AB - <p style="text-align: justify;">The initial-boundary value problem of Burgers equation is considered. A prediction-correction Legendre collocation scheme is presented, which is easy to be performed. Its numerical solution possesses the accuracy of second-order in time and higher order in space. Numerical results are reported, which show the high accuracy of this approach. The techniques used in this paper are also applicable to other nonlinear evolutionary problems.</p>