Theory and Modern Applications
t | u(x,t) | |||||||
---|---|---|---|---|---|---|---|---|
x = 0.2 | x = 0.4 | x = 0.6 | x = 0.8 | |||||
Numer | Exact | Numer | Exact | Numer | Exact | Numer | Exact | |
0.01 | 0.5317 | 0.5325 | 0.8602 | 0.8617 | 0.8602 | 0.8617 | 0.5317 | 0.5325 |
0.02 | 0.4809 | 0.4825 | 0.7781 | 0.7807 | 0.7781 | 0.7807 | 0.4809 | 0.4825 |
0.03 | 0.4350 | 0.4371 | 0.7038 | 0.7073 | 0.7038 | 0.7073 | 0.4350 | 0.4371 |
0.04 | 0.3934 | 0.3961 | 0.6366 | 0.6408 | 0.6366 | 0.6408 | 0.3934 | 0.3961 |
0.05 | 0.3559 | 0.3588 | 0.5758 | 0.5806 | 0.5758 | 0.5806 | 0.3559 | 0.3588 |
0.06 | 0.3219 | 0.3251 | 0.5208 | 0.5261 | 0.5208 | 0.5261 | 0.3219 | 0.3251 |
0.07 | 0.2911 | 0.2946 | 0.4711 | 0.4766 | 0.4711 | 0.4766 | 0.2911 | 0.2946 |
0.08 | 0.2633 | 0.2669 | 0.4261 | 0.4318 | 0.4261 | 0.4318 | 0.2633 | 0.2669 |
0.09 | 0.2382 | 0.2418 | 0.3854 | 0.3912 | 0.3854 | 0.3912 | 0.2382 | 0.2418 |
0.10 | 0.2154 | 0.2191 | 0.3486 | 0.3545 | 0.3486 | 0.3545 | 0.2151 | 0.2191 |