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An advanced block-based algorithm for fractional order modeling of financial crime population dynamics prediction | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 خرداد 1405 اصل مقاله (1.15 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70845.3540 | ||
| نویسندگان | ||
| Hadis Azin؛ Yadollah Ordokhani* ؛ Alireza Hosseinian | ||
| Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran. | ||
| چکیده | ||
| Developing robust population-level models of financial crimes is critical for quantifying systemic vulnerabilities, predicting illicit network growth patterns, and designing preemptive regulatory interventions that account for the nonlinear dynamics of modern economic systems. This study introduces a novel high-order computational framework based on quadratic interpolation for resolving complex fractional-order financial crime population systems. The developed technique significantly advances numerical solution capabilities by achieving simultaneous improvements in computational efficiency and solution accuracy for non-local differential operators. Our methodological innovation reconstructs the traditional block-by-block paradigm through a decoupling strategy that preserves solution autonomy beyond the initialization phase. This adaptation retains the numerical stability advantages of classical block methods while systematically eliminating solution interdependencies that traditionally compromise computational performance. A comprehensive convergence analysis establishes that the proposed scheme attains a convergence rate of O#3+ξ with # step length and ξ fractional order. The numerical implementation provides conclusive verification of our method’s theoretical advantages and practical utility in operational modeling scenarios. | ||
| کلیدواژهها | ||
| Financial crime modeling؛ Multi-step method؛ Quadratic interpolation؛ Fractional calculus؛ Convergence analysis | ||
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آمار تعداد مشاهده مقاله: 45 تعداد دریافت فایل اصل مقاله: 72 |
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