Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

Table 7

Comparison of AEs of Example (5) with the existing method for .

	Classical RK4 method	England version of RK4 method	Method in Masjed-Jamei and Shayegan’s [13] study
0.04	6.2454e-12	5.9921e-12	5.7760e-10
0.12	1.8305e-11	1.7579e-11	6.3606e-10
0.20	3.0242e-11	2.9066e-11	7.0280e-10
0.28	4.2489e-11	4.0871e-11	7.7828e-10
0.36	5.5411e-11	5.3341e-11	8.6407e-10
0.44	6.9339e-11	6.6796e-11	9.6195e-10
0.52	8.4599e-11	8.1547e-11	1.0741e-09
0.60	1.0152e-10	9.7917e-11	1.2030e-09
0.68	1.2048e-10	1.1626e-10	1.3518e-09
0.76	1.4185e-10	1.3695e-10	1.5242e-09
0.84	1.6611e-10	1.6043e-10	1.7245e-09
0.92	1.9377e-10	1.8721e-10	1.9582e-09
1	2.2542e-10	2.1786e-10	2.2316e-09