Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

Table 1

The roots of 𝑃_𝑛^(𝛼,𝛽)(𝑥) for different values of 𝛼 and 𝛽.

𝛼=0,	𝛼=−0.4,	𝛼=−0.5,	𝛼=−0.4,	𝛼=0.6,	𝛼=2,
𝛽=0	𝛽=−0.4	𝛽=−0.5	𝛽=0.6	𝛼=0.6	𝛽=2
−0.8611	−0.9103	−0.6947	0.9284	−0.7996	−0.6947
0.8611	0.9103	0.6947	−0.7562	0.7996	0.6947
−0.3400	−0.3729	−0.2505	0.4879	−0.3038	−0.2506
0.3400	0.3729	0.2505	−0.4879	0.3038	0.2506