Numerical study of a nonlinear COVID-19 pandemic model by finite difference and meshless methods
Rahat Zarin
Abstract
while the least square curve fitting approach is used for estimating the parameter values. The mathematical epidemiological model without and with diffusion is simulated through the operator splitting approach based on finite difference and meshless methods. Further, for the graphical solution of the non-linear model, we have applied a one-step explicit meshless procedure. We study the numerical simulation of the proposed model under the effects of diffusion. The stability analysis of the endemic equilibrium point is investigated. The obtained numerical results are compared mutually since the exact solutions are not available.
Topics & Concepts
Applied mathematicsRegularized meshless methodStability (learning theory)Nonlinear systemFinite differenceNumerical analysisDiffusionFinite difference methodMathematicsMeshfree methodsComputer scienceMathematical optimizationFinite element methodMathematical analysisSingular boundary methodPhysicsBoundary element methodQuantum mechanicsThermodynamicsMachine learningFractional Differential Equations SolutionsNumerical methods in engineeringMathematical and Theoretical Epidemiology and Ecology Models