ABSTRACT. In this paper, we propose the generalization of differential transformation method to solve higher order of linear boundary value problem. Previous studies show that the differential transformation method is a powerful method to solve several lower order linear boundary value problems. In our study, we generalized the method so that one can solve n-th order boundary value problems with m-th order linear differential equation for m > n, m < n or m = n . To illustrate the accuracy of the proposed method, we provide several numerical examples and we compare the results with the exact solutions. The comparisons demonstrate the proposed method has high accuracy.
KEYWORDS. Differential transformation method; boundary value problems; linear differential equations.