EIGEN MATHEMATICS JOURNAL
Vol 7 No 1 (2024): June

Solution of The Duffing Equation Using Exponential Time Differencing Method

Ramadian Ridho Illahi (Program Studi Fisika, FMIPA, Universitas Mataram)
Marzuki Marzuki (Program Studi Fisika, FMIPA, Universitas Mataram)
Lalu Sahrul Hudha (Program Studi Fisika, FMIPA, Universitas Mataram)



Article Info

Publish Date
15 Feb 2024

Abstract

To describe the spring stiffening effect that occurs in physics and engineering problems, Georg Duffing added the cubic stiffness term to the linear harmonic oscillator equation and is now known as the Duffing oscillator. Despite its simplicity, its dynamic behavior is very diverse. In this research, the Exponential Time Difference method is introduced to solve the Duffing oscillator numerically. To formulate the ETD method, we were using the integration factors. It is a function which, when multiplied by an ordinary differential equation, produces a differential equation that can be integrated. This method is an effective numerical method for solving complex differential equations, especially equations that have strong non-linearity The ETD method delivers highly accurate numerical solutions for the Duffing oscillator, with minimal discrepancy from the analytical results. Through parameter variation, the ETD method's applicability extends to diverse Duffing oscillator configurations.

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Journal Info

Abbrev

eigen

Publisher

Subject

Mathematics

Description

Eigen Mathematics Journal mempublikasikan artikel yang berkontribusi pada informasi baru atau pengetahuan baru terkait Matematika, Statistika, dan Aplikasinya. Selain itu, jurnal ini juga mempublikasikan artikel berbentuk survey dalam rangka memperkenalkan perkembangan terbaru dan memotivasi ...