Browsing by Subject "Adomian Decomposition Method"

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    The solution of a string model by adomian decomposition method
    (American Institute of Physics Inc., 2015) Demir D.D.; Koca E.
    Adomian Decomposition Method for the dimensionless axially accelerating string is proposed in this paper. The velocity is assumed as a constant mean velocity. The influence of the velocity on the displacement of the string is numerically discussed. © 2015 AIP Publishing LLC.
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    Implementation of taylor collocation and adomian decomposition method for systems of ordinary differential equations
    (American Institute of Physics Inc., 2015) Bildik N.; Deniz S.
    The importance of ordinary differential equation and also systems of these equations in scientific world is a crystal-clear fact. Many problems in chemistry, physics, ecology, biology can be modeled by systems of ordinary differential equations. In solving these systems numerical methods are very important because most realistic systems of these equations do not have analytic solutions in applied sciences In this study, we apply Taylor collocation method and Adomian decomposition method to solve the systems of ordinary differential equations. In these both scheme, the solution takes the form of a convergent power series with easily computable components. So, we will be able to make a comparison between Adomian decomposition and Taylor collocation methods after getting these power series. © 2015 AIP Publishing LLC.