Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

Table 6

Comparison of AEs of Example (4) with the existing method for .

	Classical RK4 method	England version of RK4 method	Method in Masjed-Jamei and Shayegan’s [13] study
0.04	7.3100e-12	3.2081e-12	7.3571e-10
0.12	1.9787e-11	8.0284e-12	6.4020e-10
0.20	2.9412e-11	1.0784e-11	5.5994e-10
0.28	3.6355e-11	1.1687e-11	4.9544e-10
0.36	4.0948e-11	1.1081e-11	4.4430e-10
0.44	4.3639e-11	9.3986e-12	4.0436e-10
0.52	4.4935e-11	7.1134e-12	3.7372e-10
0.60	4.5352e-11	4.6831e-12	3.5071e-10
0.68	4.5351e-11	2.5024e-12	3.3386e-10
0.76	4.5308e-11	8.6497e-13	3.2180e-10
0.84	4.5480e-11	5.7176e-14	3.1329e-10
0.92	4.6005e-11	2.1705e-13	3.0678e-10
1	4.6913e-11	3.2307e-13	3.0067e-10