Eighth order Predictor-Corrector Method To Solve Quadratic Riccati Differential Equations

Abstract

In this thesis, eighth order predictor-corrector method is presented for solving quadratic Riccati differential equations. The solution domain is discretized and the stability and convergence of the method have been investigated. To validate the applicability of the proposed method, five model examples with exact solutions have been considered and numerically solved by using MATLAB software. The numerical results are presented in tables and figures for different values of mesh size h. Maximum absolute errors are also presented. Concisely, the present method gives better result than existing numerical methods reported in the literature. .