In this paper, a Boussinesq equation is solved by using the Adomian's decomposition method, modified Adomian's decomposition method and homotopy analysis method. The approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed methods ...

In this study, we constructed and analysed a mathematical model of COVID-19 in order to comprehend the transmission dynamics disease. The reproduction number (RC) was calculated via next generation matrix method. We also used Lyaponuv method show global stability both disease free endemic equilibrium points. results showed that disease-free point is globally asymptotically stable if RC > 1. fur...

At present, three numerical solution methods have mainly been used to solve fractional-order chaotic systems in the literature: frequency domain approximation, predictor–corrector approach and Adomian decomposition method (ADM). Based on literature, ADM is capable of dealing with linear nonlinear problems a time domain. Also, (ADM) among efficient approaches for solving non-linear equations. Nu...