Robustness of Operational Matrices of Differentiation for Solving State-Space Analysis and Optimal Control Problems

Table 1

Comparison results of Example 3.

𝑁	𝑒𝑥𝑁 of PM	𝑒𝐽𝑁 of PM	𝑁	𝑒𝑥𝑁 of TFM [30]	𝑒𝐽𝑁 of TFM [30]
4	1.8441𝑒−003	1.6184𝑒−005	4	7.68816𝑒−03	4.27347𝑒−03
5	2.2886𝑒−004	9.1404𝑒−006	8	3.19260𝑒−03	1.06808𝑒−03
6	3.3538𝑒−005	8.0381𝑒−008	16	1.74696𝑒−04	2.67002𝑒−04
7	4.5138𝑒−005	3.5481𝑒−008	32	4.36429𝑒−05	6.67494𝑒−05
8	3.0718𝑒−005	2.8111𝑒−010	64	1.09092𝑒−05	1.66873𝑒−05