TY - JOUR A2 - Mailybaev, Alexei AU - Che Hussin, Che Haziqah AU - KiliƧman, Adem PY - 2011 DA - 2011/04/03 TI - On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method SP - 724927 VL - 2011 AB - We study higher-order boundary value problems(HOBVP) for higher-order nonlinear differential equation. We make comparisonamong differential transformation method (DTM), Adomian decompositionmethod (ADM), and exact solutions. We provide several examples inorder to compare our results. We extend and prove a theorem for nonlineardifferential equations by using the DTM. The numerical examples showthat the DTM is a good method compared to the ADM since it is effective,uses less time in computation, easy to implement and achieve high accuracy. Inaddition, DTM has many advantages compared to ADM since the calculation ofAdomian polynomial is tedious. From the numerical results, DTM is suitableto apply for nonlinear problems. SN - 1024-123X UR - https://doi.org/10.1155/2011/724927 DO - 10.1155/2011/724927 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -