Work

Frequency-dependent Symmetric Hybrid Multistep Method with Bounded Amplitude Error for Stiff and Oscillatory ODEs

Year: 2025

Type: article

Abstract: This paper considers a new fourth-order frequency-dependent symmetric hybrid linear multistep method for oscillatory second-order differential equations. The proposed method achieves minimal phase-lag and bounded amplitude error, which accurately reproduces orbital trajectories, and requires fewer function evaluations. Numerical experiment confirms improved efficiency, accuracy, and long-term stability over some existing methods in the literature.

Source: Earthline Journal of Mathematical Sciences

DOI: 10.34198/ejms.16126.01.001013

Authors: I. C. Felix, S. O. Popoola, A. O. Loko, B. O. Olusan, O. S. Olawuni, A. Nwagwo, T. O. Ogunbayo, O. E. Enobabor

Institution: Yaba College of Technology

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4416186495

FWCI:

Cites: 16

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