Work

Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems

Year: 2022

Type: article

Abstract: The quest for accurate and more efficient methods for solving periodic/oscillatory problems is gaining more attention in recent time. This paper presents the construction and implementation of a family of exponentially-fitted Obrechkoff methods using a six-step flowchart discussed in the literature. A single-step Obrechkoff method involving terms up to the fourth derivative was used as the base method. We also present the stability and convergence properties of the constructed family of methods. Two numerical examples were used to illustrate the performance of the constructed methods.

Source: Mathematics

DOI: 10.3390/math10142392

Authors: Ashiribo Senapon Wusu, Olusola Aanu Olabanjo, Manuel Mazzara

Institutions: Lagos State University, Morgan State University, Innopolis University

Language: English

Topic: Numerical Solvers for Ordinary Differential Equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,885

OpenAlex ID: W4284883749

FWCI: 0.386

Cites: 22

Cited by: 2

Related to: 10