The Spectral Method for Solving Sine-Gordon Equation Using a New Orthogonal Polynomial

Table 1

Four-stage A-stable DIRKN method.

0.6582	0.24
0.9300	0.186484967952	0.24
0.0700	−3.148664086195	2.945628022183	0.24
0.3418	1.491936101409	−1.816304852835	0.103007001689	0.24
	0.108572237906	0.012764608972	0.169586947770	0.209076205352
	0.317648443258	0.182351556742	0.182351556742	0.317648443258