An Efficient Third-Order Scheme Based on Runge–Kutta and Taylor Series Expansion for Solving Initial Value Problems

An Efficient Third-Order Scheme Based on Runge–Kutta and Taylor Series Expansion for Solving Initial Value Problems

In this paper, we propose a new numerical scheme based on a variation of the standard formulation of the Runge–Kutta method using Taylor series expansion for solving initial value problems (IVPs) in ordinary differential equations. Analytically, the accuracy, consistency, and absolute stability of t...

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Bibliographic Details
Main Authors: Noori Y. Abdul-Hassan, Zainab J. Kadum, Ali Hasan Ali
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Algorithms
Subjects:
numerical methods
initial value problem
autonomous equation
local truncation error
consistency
stability
Online Access:https://www.mdpi.com/1999-4893/17/3/123

Internet

https://www.mdpi.com/1999-4893/17/3/123

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