Paper Title
AN EFFICIENT METHOD FOR SOLVING INITIAL VALUE PROBLEMS BASED ON OPTIMIZED HYBRID BLOCK METHOD

Abstract
Abstract - In this work, an optimized one-step method based on the hybrid block method is derived for solving the first initial value problem. We examine off-step points to minimize the local truncation error of the proposed method. We examinesome the oretical properties of the proposed method, such as stability, convergence and consistency. Additionally, the region of absolute stability for the proposed method is plotted. Furthermore, some numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method. Compare the results with those available in the literature. Discuss the impact of the number of off-step points. Keywords - Hybrid Block Method, Stability, Convergence, Off-Step Points, Consistency.