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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

On the Solutions of Nonlinear Higher-Order Boundary Value Problems by Using Differential Transformation Method and Adomian Decomposition Method