TY - JOUR
T1 - L∞ error estimate of a finite difference approximation method for semilinear PDEs
AU - Boulbrachene, Messaoud
PY - 2013
Y1 - 2013
N2 - The paper deals with finite difference approximation for a class of semilinear elliptic problems.We establish optimal L∞ error estimate of the 5-point scheme making use of the Banach's fixed point principle.
AB - The paper deals with finite difference approximation for a class of semilinear elliptic problems.We establish optimal L∞ error estimate of the 5-point scheme making use of the Banach's fixed point principle.
KW - Banach fixed point principle
KW - Error estimate
KW - Finite difference approximation
KW - Semilinear ODE
UR - http://www.scopus.com/inward/record.url?scp=84878630471&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878630471&partnerID=8YFLogxK
U2 - 10.12988/ijma.2013.3110
DO - 10.12988/ijma.2013.3110
M3 - Article
AN - SCOPUS:84878630471
SN - 1312-8876
VL - 7
SP - 1761
EP - 1764
JO - International Journal of Mathematical Analysis
JF - International Journal of Mathematical Analysis
IS - 33-36
ER -