Work

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

Year: 2025

Type: article

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.

Source: Asian Journal of Fuzzy and Applied Mathematics

DOI: 10.24203/v787vt60

Authors: Ahmed Olajuwon Subair, A. M. Badmus

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409178487

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