A Concise Formula for Determining the Order and Error Constant of Fourth-Order Linear Multistep Method
DOI:
https://doi.org/10.24203/v787vt60Keywords:
Fourth-order, Linear Multistep Method (LMM), Order and Error Constant.Abstract
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.
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Copyright (c) 2025 Ahmed Olajuwon Subair, A. M. Badmus
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