Spectral Method for Solving the Nonlinear Thomas-Fermi Equation Based on Exponential Functions

Table 1

Comparison of the effectiveness of the application of spectral methods based on different basis sets for calculating the initial slope (0) of the TF equation.

	RC-P	RC-SK	RC-TK	RC-B	Her	Sinc	Exp
4	—	—	—	—
5	—			—	—	—
7	—			—	—	—
8		—		—	—
10		—	—	—	—	—
12		—	—	—	—	—
15	—	—	—	—	<5	—
16	—	—	—	—	—
20	—	—	—		—	—
25	—	—	—	—	—	—
32	—	—	—	—	—
40	—	—	—		—	—