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

Table 1

Comparison of absolute errors of approximate solutions, for example, obtained by reproducing kernel space methods, CAS wavelet approximating [5], differential transformation [6] methods and HPM [1].

Node	Method in [5]	Method in [6]	Method in [1]	Reproducing kernel methods
0.1	1.34917637𝑒−03	1.00118319𝑒−02	2.304814815𝑒−04	4.77378𝑒−05
0.2	1.15960044𝑒−03	2.78651355𝑒−02	9.259259259𝑒−04	4.80048𝑒−05
0.3	5.67152531𝑒−03	5.08730892𝑒−02	2.083333333𝑒−03	4.97945𝑒−05
0.4	5.93405645𝑒−02	7.55356316𝑒−02	3.703703704𝑒−03	5.31631𝑒−05
0.5	1.32330751𝑒−02	9.71888592𝑒−02	5.787037037𝑒−03	5.81740𝑒−05
0.6	4.39287720𝑒−02	1.09551714𝑒−01	8.333333333𝑒−03	6.48985𝑒−05
0.7	1.41201624𝑒−02	1.04133232𝑒−01	1.134259259𝑒−02	7.34170𝑒−05
0.8	1.34514117𝑒−02	6.94512700𝑒−02	1.481481481𝑒−02	8.38198𝑒−05
0.9	1.32045209𝑒−02	1.00034260𝑒−02	1.875000000𝑒−02	9.62085𝑒−05