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L. Salaudeen

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Open access Sep 2026

A Nonstandard Finite Difference Schemes for the Damped Harmonic Oscillator with Trigonometric Denominators: Convergence Analysis, Systematic Damping-Regime Validation, and Energy Conservation

This paper develops, analyses, and extends a class of nonstandard finite difference (NSFD) schemes for the damped harmonic oscillator equation $y'' + 2\varepsilon y' + y = 0$ using a hybrid interpolant that combines trigonometric and exponential basis functions within a dynamically renormalized denominator structure. W...

L. Salaudeen, A. Obayomi · 0 citations

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