Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations

Table 2

Comparison of the absolute errors of Example 3.

𝑥𝑖	Exact solution	Present method
		𝑁=6		𝑁=9
		𝑦(𝑥𝑖)	Absolute errors	𝑦(𝑥𝑖)	Absolute errors
−1	0.3678794	0.368349	0.4695169𝑒−3	0.3678795	9.388396𝑒−8
−0.8	0.449329	0.4496545	0.3255685𝑒−3	0.4493289	4.540547𝑒−8
−0.6	0.5488116	0.5490096	0.1980008𝑒−3	0.5488116	3.612436𝑒−8
−0.4	0.67032	0.6704069	0.8684809𝑒−4	0.67032	8.495309𝑒−9
−0.2	0.8187308	0.8187468	0.1605797	0.8187308	7.845555𝑒−10
0	1.0	1.0	0	1.0	0
0.2	1.221403	1.221369	0.3335666𝑒−4	1.221403	3.813474𝑒−9
0.4	1.491825	1.491453	0.3721909𝑒−3	1.491825	2.903571𝑒−8
0.6	1.822119	1.820404	0.171522𝑒−2	1.822119	0.2499077𝑒−6
0.8	2.225541	2.220096	0.5445047𝑒−2	2.225537	0.3627591𝑒−5
1	2.718282	2.704284	0.01399794	2.71826	0.2222775𝑒−4