A new approximation method to solve boundary value problems by using functional perturbation concepts

Abstract

Functional perturbation method (FPM) is presented for the solution of dierential equations with boundary conditions. Some properties of FPM are utilized to reduce the dierential equation with variable coecients to the equations with constant coecients. The FPM can be applied directly for many types of dierential equations. The exact solution is obtained by only the rst term of the Frechet series for polynomial cases. Four examples are included to demonstrate the method.