Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

Table 4

Comparisons of AEs of Example (1) with the existing methods for .

	England version of RK4; (Present method)	Method in Ala’yed et al.’s [17] study	Method in File and Aga’s [11] study	Method in Ghomanjani and Khorram’s [12] study
0.1	3.6077e-09	6.5346e-8	1.1153e-7	0.00034681435605
0.3	1.1965e-08	2.0112e-7	4.6838e-7	0.00067436472882
0.5	2.2093e-08	3.6696e-7	1.1237e-6	3.8747e-10
0.7	3.4318e-08	5.6951e-7	2.3239e-6	0.00067437189321
0.9	4.8992e-08	8.1691e-7	4.5182e-6	0.00034682221170
1	5.7356e-08	9.5347e-7	6.2225e-6	0.000000000000