In this paper, the
Adomian decomposition method with Green’s function (Standard Adomian and
Modified Technique) is applied to solve linear and nonlinear tenth-order
boundary value problems with boundary conditions defined at any order
derivatives. The numerical results obtained with a small amount of computation
are compared with the exact solutions to show the efficiency of the method. The
results show that the decomposition method is of high accuracy, more convenient
and efficient for solving high-order boundary value problems.