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In this study, we apply Variation of Parameter Method (VPM) coupled with an auxiliary parameter to obtain the approximate solutions for the epidemic model for the evolution of smoking habit in a constant population. Convergence of the developed algorithm, namely VPM with an auxiliary parameter is studied. Furthermore, a simple way is considered for obtaining an optimal value of auxiliary parameter...
In this study, we present a new modified convergent analytical algorithm for the solution of nonlinear boundary value problems by the Variation of Parameters Method (VPM). The method is based on embedding, auxiliary parameter and auxiliary linear differential operator, provides a computational advantage for the convergence of approximate solutions for nonlinear differential equations. Convergence...
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