A  Concise Formula for Determining the Order and Error Constant of Fourth-Order Linear Multistep Method

In this study, we develop a concise and efficient formula for determining the order and error constants of fourth-order linear multistep methods used in the numerical solution of ordinary differential equations. Traditional approaches to computing these parameters often involve tedious algebraic manipulations, which can be time-consuming and error prone. This new approach provides a streamlined and systematic method that simplifies the analysis while ensuring accuracy and reliability. By leveraging this new approach, researchers can more efficiently assess the accuracy and stability of fourth-order linear multistep method schemes.