Improvement of Split-Step Forward Milstein Schemes for SODEs Arising in Mathematical Physics

Table 1

Numerical results.

Schemes
Milstein	65.35%	41.59%	13.78%	90.50%	72.38%	29.03%	99.31%	93.93%	51.72%
TSM1 a	49.80%	2.44%	0%	81.65%	5.24%	0%	98.22%	10.78%	0%
TSM1 b	71.93%	52.98%	32.69%	94.77%	79.04%	52.06%	99.85%	95.92%	75.70%
TSM1 c	56.73%	1.13%	0%	82.42%	2.34%	0%	97.94%	4.74%	0%
TSM1 d	54.94%	1.25%	0%	84.27%	2.69%	0%	98.40%	5.53%	0%
TSM1 e	60.66%	4.52%	0%	88.75%	9.49%	0%	99.07%	19.01%	0%
TSM1 f	58.56%	1.96%	0%	86.41%	4.19%	0%	98.66%	8.62%	0%
ITSM-i	0%	0%	0%	0%	0%	0%	0%	0%	0%
ITSM-ii	55.58%	53.26%	41.65%	79.52%	75.62%	61.63%	95.54%	93.33%	83.31%
ITSM-iii	0%	0%	0%	0%	0%	0%	0%	0%	0%
ITSM-iv	0%	0%	0%	0%	0%	0%	0%	0%	0%
ITSM-v	0%	0%	0%	0%	0%	0%	0%	0%	0%
ITSM-vi	0%	0%	0%	0%	0%	0%	0%	0%	0%