Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability

Table 2

Relative error of approximate solutions with 𝜀=0.0001.

Node	Approximate solution 𝑢100(𝑡)	True solution 𝑢(𝑡)	Relative error
0.1	0.110575	0.110517	5.25129𝑒−4
0.2	0.244350	0.244281	2.83292𝑒−4
0.3	0.405040	0.404958	2.03706𝑒−4
0.4	0.596828	0.596730	1.64163𝑒−4
0.5	0.824476	0.824361	1.40317𝑒−4
0.6	1.093410	1.093270	1.24119𝑒−4
0.7	1.409790	1.409630	1.12167𝑒−4
0.8	1.780620	1.780430	1.02793𝑒−4
0.9	2.213850	2.213640	9.50945𝑒−5
1	2.718520	2.718280	8.85463𝑒−5