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. .
