ArticleAdvances in difference equations2021
An explicit unconditionally stable scheme: application to diffusive Covid-19 epidemic model.
Article in Advances in difference equations, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- A rigorous theoretical and numerical analysis of a nonlinear reaction-diffusion epidemic model pertaining dynamics of COVID-19.Scientific reports · 2024Article
- A numerical study of spatio-temporal COVID-19 vaccine model via finite-difference operator-splitting and meshless techniques.Scientific reports · 2023Article
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4 authors.
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Abstract
An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This scheme is first-order accurate in time and second-order accurate in space and provides the conditions to get a positive solution for the considered type of epidemic model. Furthermore, the scheme's stability for the general type of parabolic equation with source term is proved by employing von Neumann stability analysis. Furthermore, the consistency of the scheme is verified for the category of susceptible individuals. In addition to this, the convergence of the proposed scheme is discussed for the considered mathematical model.
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