. Author manuscript; available in PMC: 2021 Jun 15.

Published in final edited form as: Comput Methods Appl Mech Eng. 2020 Apr 15;362:112834. doi: 10.1016/j.cma.2020.112834

Table 5.

Comparison of solving speed for the Grunwald-Letnikov (GL) and Prony approximation methods (MATLAB implementation). The time results reported correspond to calculations for a single point on the outer edge of the cylinder. All methods were run in serial on a DELL PRECISION M4800 quad-core Intel(R) Core(TM) i7-4810MQ CPU @ 2.80 GHz.

	Δ_t (s)	GL (s)	Prony (s)
	Δ_t (s)	GL (s)	N = 3	N = 6	N = 9	N = 12
α = 0.2	1e–2	0.029	0.054	0.044	0.051	0.047
	5e–3	0.052	0.086	0.093	0.097	0.094
	1e–3	0.202	0.406	0.429	0.442	0.561
	5e–4	0.492	0.818	0.871	0.890	0.933
	1e–4	5.728	4.676	4.169	4.348	4.530
	5e–5	17.706	8.392	8.369	8.859	9.088
	1e–5	770.569	38.051	37.888	39.370	41.773