Yücel, MerveMukhtarov, Oktay2024-07-122024-07-122019Yücel, M. ve Mukhtarov, O. (2019). Application of differential transform method and adomian decomposition method for solving of one nonlinear boundary-value-transmission problem. International Conference of Mathematical Sciences (ICMS 2019). s. 173.978-605-2124-29-1https://hdl.handle.net/20.500.12415/2825In this study, we will find the approximate solution of one nonlinear boundary-value-transition problem by using Adomian Decomposition Method and Differential Transform Method. Namely we investigate the nonlinear differential equation, y ??(x) + y 2 (x) = ?y(x), x ? [1, 2) ? (2, 3] subject to boundary conditions y(1) = y(3) = 0 and additional transmission conditions at the interior singular point x = 2, given by y(2 ? 0) = ?1y(2 + 0), y? (2 ? 0) = ?2y ? (2 + 0). We obtain that using both Adomian Decomposition Method and Differential Transform Method, it is possible to express analytic solutions of nonlinear boundary-valuetransmission problem in terms of series without linearization, discretization or perturbation techniques.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessAdomian decomposition methodDifferential transform methodApproximate solutionArticle174173