TY - JOUR
T1 - Implicit Difference Methods for Degenerate Hyperbolic Equations of Second Order
JO - Journal of Computational Mathematics
VL - 3
SP - 193
EP - 204
PY - 1993
DA - 1993/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9318.html
KW - 
AB - <p style="text-align: justify;">This paper is a sequel to [2]. A two parameter family of explicit and implicit schemes is constructed for the numerical solution of the degenerate hyperbolic equations of second order. We prove the existence and the uniqueness of the solutions of these schemes. Furthermore, we prove that these schemes are stable for the initial values and that the numerical solution is convergent to the unique generalized solution of the partial differential equation. &nbsp;</p>