  This paper is focused on performing a new method for solving linear and
nonlinear higher-order boundary value problems (HBVPs). This direct numerical
method based on spectral method. The trial function of this method is the Monic
Chebyshev polynomials (MCPs). This method was relying on derivative of MCPs
which explicit in the series expansion. The advantage of this method is solved
HBVPs without transforming it to a system of lower-order ordinary differential
equations (ODEs). This method supported by examples of HBVPs in wide
application. The mentioned examples showed that the proposed method is
efficient and accurate.
