An Extension of the Legendre-Galerkin Method for Solving Sixth-Order Differential Equations with Variable Polynomial Coefficients

Table 2

Maximum pointwise error of 𝑢−𝑢_𝑁 for 𝑁=20,30,40.

N	𝛾0	𝛾1	𝛾2	LGM	𝛾0	𝛾1	𝛾2	LGM
20	3	1	1	1.18⋅10^−3	0	0	0	1.18⋅10^−3
30				2.39⋅10^−9				1.18⋅10^−9
40				2.11⋅10^−14				2.08⋅10^−14