A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property

Table 5

Numerical results of the initial value Problems A and B.

	Problem A		Problem B
	𝜀mean	𝜀max	𝜀mean	𝜀max
𝑦𝑖	6.34×10^−7	1.94×10^−6	2.09×10^−6	1.23×10^−5
ℒ𝐻2𝑚−1,(𝑙,𝑚)=(4,2)	2.30×10^−7	6.18×10^−7	7.00×10^−7	2.43×10^−6
ℒ𝐻2𝑚−1,(𝑙,𝑚)=(4,3)	8.05×10^−8	5.72×10^−7	3.84×10^−7	4.02×10^−6
ℒ𝑣𝑚,(𝑙,𝑚)=(4,2)	6.02×10^−8	9.17×10^−8	9.32×10^−8	3.43×10^−7
ℒ𝑣𝑚,(𝑙,𝑚)=(4,3)	1.67×10^−9	2.44×10^−7	8.72×10^−8	6.59×10^−7