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

Table 1

Comparison of the absolute errors of Example 2.

𝑥𝑖	Exact solution	Present method
		𝑁=8		𝑁=9
		𝑦(𝑥𝑖)	Absolute errors	𝑦(𝑥𝑖)	Absolute errors
−1	−0.8414711	−1.114125	0.2726539	−3.078521	2.23705
−0.8	−0.7173561	−0.869866	0.1525099	−1.875847	1.158491
−0.6	−0.5646425	−0.633677	0.06903453	−1.054038	0.4893957
−0.4	−0.3894183	−0.4110374	0.0216191	−0.5333391	0.1439208
−0.2	−0.1986693	−0.2014897	0.00282041	−0.2163871	0.01771782
0	0	5.62972𝑒−17	5.62972𝑒−17	−1.153157𝑒−15	1.153157𝑒−15
0.2	0.1986693	0.2016525	0.00298318	0.2155338	0.01686445
0.4	0.3894183	0.4137037	0.02428533	0.5200945	0.1306762
0.6	0.5646425	0.6476974	0.08305494	0.9903835	0.4257410
0.8	0.7173561	0.9164897	0.1991336	1.689322	0.9719655
1	0.841471	1.235210	0.3937393	2.667579	1.826108