Theory and Modern Applications
τ = 1.0 × 10−3,γ = 0.5,λ = 0.00001,N = 100 | |||
---|---|---|---|
x | Exact solution | Approximated solution | Error |
0.1 | 5.53577911 | 5.53577900 | 1.1363e−07 |
0.2 | 6.11798209 | 6.11798186 | 2.2948e−07 |
0.3 | 6.76141588 | 6.76141555 | 3.3011e−07 |
0.4 | 7.47252019 | 7.47251979 | 4.0100e−07 |
0.5 | 8.25841200 | 8.25841157 | 4.3141e−07 |
0.6 | 9.12695678 | 9.12695636 | 4.1533e−07 |
0.7 | 10.0868472 | 10.0868468 | 3.5263e−07 |
0.8 | 11.1476902 | 11.1476900 | 2.5034e−07 |
0.9 | 12.3201030 | 12.3201029 | 1.2413e−07 |