TY - JOUR
T1 - Convergence in Wavelet Collocation Methods for Parabolic Problems
AU - Zhao , Jianbin
AU - Li , Siwen
AU - Li , Hua
JO - Journal of Partial Differential Equations
VL - 2
SP - 171
EP - 180
PY - 2019
DA - 2019/07
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n2.6
UR - https://global-sci.org/intro/article_detail/jpde/13241.html
KW - Second-generation Wavelet
KW - collocation
KW - convergence
KW - stability.
AB - <p>This paper studies the second-generation interpolating wavelet collocation
methods in space and different Euler time stepping methods for parabolic problems.
The convergence and stability are investigated. The operators are formulated using
an efficient and exact formulation. The numerical results verify the efficiency of the
methods.</p>