TY - JOUR T1 - A Numerical Method For Solving Ricatti Differential Equations TT - JF - IJMSI JO - IJMSI VL - 12 IS - 2 UR - http://ijmsi.ir/article-1-661-en.html Y1 - 2017 SP - 51 EP - 71 KW - Riccati differential equations KW - Adams-Bashforth rules KW - Weighting factor KW - Nonlinear differential equations KW - Stirling numbers. N2 - 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. M3 10.7508/ijmsi.2017.2.004 ER -