Numerical solutions of second order initial value problems of bratu-type equation using predictorcorrector method

Abstract

This research paper mainly presents predictor-corrector method for solving initial value problems of second order Bratu-type Equations. In order to verify the accuracy, the numerical solutions are compared with the exact solutions. The numerical solutions are in good agreement with the exact solutions. The stability and convergence of the method have been investigated. Three model examples are considered to demonstrate the reliability and efficiency of the method. Point wise absolute errors are obtained by using MATLAB software. The proposed method also compared with the existing literatures and the proposed method is quite efficient and practically suited for solving these problems.