Adam-Bash forth-Multan Predictor Corrector Method for Solving First Order Initial value problem and Its Error Analysis

This paper presents fourth order Adams predictor corrector numerical scheme for solving initial value problem. First, the solution domain is discretized. Then derivatives in given problem are replaced by finite difference approximations and that provides algebraic systems of equations developed. The starting points obtained using Runge-Kutta method then applying present to finding Initial To validate applicability method, two model examples solved different values mesh size. stability convergence have been investigated. results presented tables graphs. helps us get good small size h. proposed approximates exact very well. Moreover, improves findings some existing methods reported literature.