A Class of New Pouzet-Runge-Kutta-Type Methods for Nonlinear Functional Integro-Differential Equations

Table 1

(a) The Γ-values of the methods for (2.23), (b) The errors of the numerical solutions of (2.22) by methods (3.7)–(3.10).

(a)

Gauss	Radau IA	Radau IIA	Lobatto IIIC
−3.1302𝑒−001	−2.2800𝑒−001	−2.1530𝑒−001	−2.9081𝑒−001

(b)

(Δ𝑣,ℎ)	Gauss	Radau IA	Radau IIA	Lobatto IIIC
(𝜋/30,√3/16)	9.1064𝑒−006	3.7388𝑒−004	3.8044𝑒−004	1.3926𝑒−002
(𝜋/60,√3/32)	5.7295𝑒−007	4.6647𝑒−005	4.8352𝑒−005	3.5011𝑒−003
(𝜋/120,√3/64)	3.5879𝑒−008	5.8133𝑒−006	6.0818𝑒−006	8.7739𝑒−004
(𝜋/240,√3/128)	2.2433𝑒−009	7.2537𝑒−007	7.6236𝑒−007	2.1957𝑒−004