… By adding a suitable real function on both sides of the quadratic Riccati differential
equation, we propose a weighted type of Adams- … To show the priority and efficiency of
the weighted models (2.11) with respect to usual Adams-Bashforth methods, in this section
we consider five numerical examples of the Riccati differential equation taken from [1, 10, 11,
17, 19, 20]. For each example, the step size, parameters s, m and the exact solution are
given and also numerical results are shown in five tables in which y shows the exact …

By adding a suitable real function on both sides of the quadratic Riccati differential equation,
we propose a weighted type of ADAMS-BASHFORTH RULES for solving it, in which
moments are used instead of the constant coefficients of ADAMS-BASHFORTH RULES.
Numerical results reveal that the proposed method is efficient and can be applied for other
nonlinear problems.