Study on Banded Implicit Runge–Kutta Methods for Solving Stiff Differential Equations

Table 2

The test results for system (28).

		Maximum absolute error	Number of Newton iterations	Time
System (25)
	Step size
	BIRK	1.899433882193exp-01	2499	0.1194
	SDIRK	5.402682507296	2933	0.0929
	SIRK	5.402682507296	4076	0.2534
	Gauss-IRK	1.899433882193exp-01	2493	0.1068
	Step size
	BIRK	1.231643373468exp-02	4254	0.1899
	SDIRK	9.714581002096exp-01	4666	0.1325
	SIRK	9.714581002096exp-01	5188	0.3267
	Gauss-IRK	1.231643373468exp-02	4174	0.1725
	Step size
	BIRK	2.003231104197exp-05	15604	0.3766
	SDIRK	1.124295167250exp-02	16546	0.3154
	SIRK	1.124295167250exp-02	18473	1.0362
	Gauss-IRK	2.003231104197exp-05	15526	0.3651