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<p>This paper presents a novel numerical technique based on the Hosoya Wavelet Collocation Method (HWCM) for solving fractional-order nonlinear differential models of CO<sub>2</sub> emission. The Hosoya polynomials, generated through a recursive relation, are utilized to construct Hosoya wavelet basis functions. By introducing a new operational matrix of fractional integration for the Hosoya basis, the Caputo fractional derivatives in the model are transformed into an algebraic system. The proposed method offers higher accuracy and numerical stability compared with the classical Chebyshev Wavelet Collocation Method (CWCM). Numerical experiments confirm that HWCM efficiently approximates the atmospheric CO<sub>2</sub> dynamics with minimal computational effort.</p>

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A novel Hosoya Wavelet Collocation Method for solving fractional-order CO2 emission models

  • 期刊论文

  • 发表日期：

    2026年7月2日

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  • S. Dickson,
  • Sreedharan Raju

摘要

This paper presents a novel numerical technique based on the Hosoya Wavelet Collocation Method (HWCM) for solving fractional-order nonlinear differential models of CO2 emission. The Hosoya polynomials, generated through a recursive relation, are utilized to construct Hosoya wavelet basis functions. By introducing a new operational matrix of fractional integration for the Hosoya basis, the Caputo fractional derivatives in the model are transformed into an algebraic system. The proposed method offers higher accuracy and numerical stability compared with the classical Chebyshev Wavelet Collocation Method (CWCM). Numerical experiments confirm that HWCM efficiently approximates the atmospheric CO2 dynamics with minimal computational effort.