Research Article
The Spectral Method for Solving Sine-Gordon Equation Using a New Orthogonal Polynomial
Table 2
The approximate solution for
of Experiment
1.
| | | | | | |
| |
0.0
|
0.3986746100
|
0.7895822394
|
1.1658271779
|
1.5220255084
|
1.8545904360
| |
0.2
|
0.3908822100
|
0.7744385442
|
1.1441349052
|
1.4948183070
|
1.8229915644
| |
0.4
|
0.3689530692
|
0.7311732829
|
1.0827641117
|
1.4175301638
|
1.7328129513
| |
0.6
|
0.3366233389
|
0.6685450323
|
0.9914459040
|
1.3016971244
|
1.5965446689
| |
0.8
|
0.2985244887
|
0.5937600941
|
0.8826302804
|
1.1624500568
|
1.4310481369
| |
1.0
|
0.2588597329
|
0.5155692281
|
0.7680835230
|
1.0145556439
|
1.2534069046
|
|
|
