Analysis of Convergence of Block Methods in Simulating Epidemic Diseases
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Date
2024
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The Faculty of Natural and Applied Sciences, Ignatius Ajuru University of Education, Rumuolumeni,River states, Nigeria.
Abstract
This research delves into a comprehensive examination of the application and convergence analysis of a newly
developed block method for simulating epidemic models. The focal point of this study revolves around the
derivation and implementation of a novel scheme, crafted through the utilization of power series polynomials,
ensuring the fulfilment of essential properties. The formulation of the new scheme was rooted in the power series
polynomial, a mathematical construct known for its versatility and precision. The rigorous validation process
confirmed that the derived scheme satisfied the requisite properties, thereby establishing its theoretical soundness.
The crux of the investigation lies in the practical application of this innovative scheme to simulate an epidemic
model. Through meticulous simulations, the results yielded compelling evidence of the new method's superiority
over existing approaches considered in this research. The comparative analysis demonstrated a notable
enhancement in both accuracy and convergence speed, highlighting the efficacy of the newly proposed scheme in
capturing and predicting the dynamics of epidemics. The observed advantages of the new scheme are particularly
noteworthy, showcasing its potential to revolutionize the field of epidemiological modelling. By outperforming
established methods, the new approach not only contributes to the theoretical underpinnings of epidemic
modelling but also holds significant promise for practical applications, such as forecasting disease spread and
optimizing intervention strategies
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Accuracy, Basic Properties, Epidemical Models, New Scheme, Power Series.