Browsing by Subject "Computable components"

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    Modified decomposition method for nonlinear Volterra-Fredholm integral equations
    (Elsevier Ltd, 2007) Bildik N.; Inc M.
    In this paper, the nonlinear Volterra-Fredholm integral equations are solved by using the modified decomposition method (MDM). The approximate solution of this equation is calculated in the form of a series with easily computable components. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. Two test problems are presented to illustrate the reliability and the performance of the modified decomposition method. © 2006 Elsevier Ltd. All rights reserved.
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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.