Implicit Block Hybrid-Like Method for Solving System of First Order Ordinary Differential Equations

Abstract

The block hybrid-like method is presented and implemented in predictor-corrector mode to solve system of first order ordinary differential equations. The block method is applied to provide the approximation for both the main and off-step points concurrently. The stability properties of the method are investigated. Some illustrative examples are presented to demonstrate the efficiency of the block hybrid-like method.