MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM
Keyword(s):
This paper presents the general modified equation for a family of finite-difference schemes solving one-dimensional advection equation. The whole family of explicit and implicit schemes working at two time-levels and having three point spatial support is considered. Some of the classical schemes (upwind, Lax-Friedrichs, Lax-Wendroff) are discussed as examples, showing the possible implications arising from the modified equation to the properties of the considered numerical methods.
Keyword(s):
1981 ◽
pp. 411-416
◽
Keyword(s):
2019 ◽
Vol 1297
◽
pp. 012005
◽
2016 ◽
Vol 31
(3)
◽
2001 ◽
Vol 36
(4)
◽
pp. 417-439
◽
2001 ◽
Vol 7
(3)
◽
pp. 283-297
◽
Keyword(s):