Abstract
This study simulates the coronavirus infection (Covid-19) which is given as a mathematical model based on a set of ordinary differential equations. We provide this numerical treatment and simulation by using the finite element method (FEM). The proposed model is reduced to a set of algebraic equations using the FEM. The goal of this research is to stop and slow the spread of a sickness that is ravaging the globe. A susceptible person may also transfer immediately to the quarantined class after the exposed person has been quarantined or moved to one of the contaminated classes. This model was employed by the researchers to account for both asymptomatic and symptomatic infected people. The obtained findings are compared to those results by using the Runge–Kutta method of the fourth order (RK4). Finally, we calculate the residual error function of the approximation to validate the FEM.
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All data generated or analyzed during this study are included in this published article.
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Acknowledgements
The authors extend their appreciation to Princess Nourah bint Abdulrahman University for fund this research under Researchers Supporting Project number (PNURSP2023R229) Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia
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Alhejili, W., Khader, M.M., Lotfy, K. et al. Studying of the Covid-19 model by using the finite element method: theoretical and numerical simulation. Soft Comput 28, 5263–5273 (2024). https://doi.org/10.1007/s00500-023-09310-6
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DOI: https://doi.org/10.1007/s00500-023-09310-6