A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations

Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Comparison of the absolute errors for Example 1

x	Analytical	ChNN [ 38 ]	EJOM ( N = 20, L = 1)
x	Analytical	ChNN [ 38 ]	\(\boldsymbol {\theta=\vartheta=-\frac{1}{2}}\)	θ = ϑ = 0	\(\boldsymbol {\theta=\vartheta=\frac{1}{2}}\)
0.0	1.0000000	1.0000000	1.0000000	1.0000000	1.0000000
0.1	0.99004983	0.99004883	0.99004988	0.99004994	0.99004993
0.2	0.96078943	0.96077941	0.96078946	0.96078942	0.96078934
0.3	0.91393118	0.9139317	0.91393112	0.91393112	0.91393120
0.4	0.85214378	0.85224279	0.85214382	0.85214381	0.85214376
0.5	0.77880078	0.77870077	0.77880085	0.77880096	0.77880099
0.6	0.69767632	0.69767719	0.69767618	0.69767594	0.69767596
0.7	0.61262639	0.61272838	0.61262644	0.61262662	0.61262661
0.8	0.527292424	0.52729340	0.52729252	0.52729272	0.52729269
0.9	0.44485806	0.44490806	0.44485807	0.44485772	0.44485769
1.0	0.36787944	0.36782729	0.36787939	0.36787915	0.36787921