i*w
发帖数: 107 | 1 or
boussinesq equation
what is the numerical scheme?
anyone has source codes or the sketch?
I need do numerical solution for such kind equations.
write back please.
read some papers, just about the existence or uniqueness.
BOW BOW BOW. | i******m
发帖数: 10 | 2 There are countless papers about how to solve KdV equation numerically. The
FD schemes are straightforward and easy to program. I think writing your own
code can save you much more time than reading others’.
1. Finite Difference Schemes:
N. J. Zabusky and M. D. Kruskal, Phys. Rev. Lett. 15 (1965), 240
A. C. Vliegenthart, J. Eng. Math. 5 (1971), 137
I. S. Greig and J. L. Morris, J. Comput. Phys 20 (1976), 64
J. M. Sanz-Serna, J. Comput. Phys 47 (1982), 199
K. Djidjeli et al., J. Comput. Appl. Mat
【在 i*w 的大作中提到】
: or
: boussinesq equation
: what is the numerical scheme?
: anyone has source codes or the sketch?
: I need do numerical solution for such kind equations.
: write back please.
: read some papers, just about the existence or uniqueness.
:
: BOW BOW BOW.
| i*w
发帖数: 107 | 3
The
own
thank you!
my actual computation would be based on such scheme and
make some modification.
just want to save some time.
【在 i******m 的大作中提到】
: There are countless papers about how to solve KdV equation numerically. The
: FD schemes are straightforward and easy to program. I think writing your own
: code can save you much more time than reading others’.
: 1. Finite Difference Schemes:
: N. J. Zabusky and M. D. Kruskal, Phys. Rev. Lett. 15 (1965), 240
: A. C. Vliegenthart, J. Eng. Math. 5 (1971), 137
: I. S. Greig and J. L. Morris, J. Comput. Phys 20 (1976), 64
: J. M. Sanz-Serna, J. Comput. Phys 47 (1982), 199
: K. Djidjeli et al., J. Comput. Appl. Mat
| i******m
发帖数: 10 | 4 The FD scheme in the (N. J. Zabusky and M. D. Kruskal, Phys. Rev. Lett. 15 (
1965), 240) is a classic one. Fast and accurate. You can try this. Highly
recommend.
But if you need more accuracy, you can try the spectral method. It has "
infinite" accuracy, and no phase error. However, you may only impose the
periodic BC for this method. |
|
