Work

A Parametric Six-Step Method for Second-Order IVPs with Oscillating Solutions

Year: 2024

Type: article

Abstract: In this paper, we have developed an explicit symmetric six-step method. This new method is phase-fitted and incorporates a free coefficient as a parameter. Using a wide range of values for this parameter, we computationally define the periodicity interval. Numerical outcomes guided us toward identifying optimal values for the parameter, establishing the new method’s high efficiency. The efficiency of the new method is demonstrated through its application to oscillatory problems, comparing it with well-known phase-fitted methods.

Source: Mathematics

DOI: 10.3390/math12233824

Author: Dimitris F. Papadopoulos

Institution: University of Patras

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: University of Patras