PLoS ONE · 2016 · 14 citations · 15 references
Tobacco CessationNumerical AnalysisSubstance UseEngineeringFractional OrderTobacco ControlNumerical ComputationGeneralized Euler MethodNicotineAddiction MedicinePublic HealthApproximation TheoryStatisticsFractional DynamicTobacco UseCaputo DerivativeAdolescent Nicotine DependenceNumerical Method For Partial Differential EquationSubstance AbuseFractional-order SystemAddictionSubstance AddictionNumerical TreatmentMultiscale Modeling
In this work, we consider giving up smoking dynamic on adolescent nicotine dependence. First, we use the Caputo derivative to develop the model in fractional order. Then we apply two different numerical methods to compute accurate approximate solutions of this new model in fractional order and compare their results. In order to do this, we consider the generalized Euler method (GEM) and multi-step generalized differential transform method (MSGDTM). We also show the unique positive solution for this model and present numerical results graphically.
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