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The main advantage of using the Duan-Rach modified ADM for solving nonlinear integer order BVPs which we can see from Section 2.3 is that evaluating the inverse operator directly at the boundary points allows us to obtain the solution components without using numerical methods to calculate the values of unknown constants of integration as in the method of undetermined coefficients. In this section, we construct the recursion schemes developed by using the Duan-Rach modified ADM for solving fractional higher order two-point BVPs with their boundary conditions.
In comparison, in the classic Adomian decomposition method combined with the method of undetermined coefficients to solve nonlinear boundary value problems, we impose the boundary conditions after calculating the solution components [f.sub.n]([eta]), however in the Duan-Rach modified decomposition method to solve nonlinear boundary value problems, we impose the boundary conditions before calculating the solution components [f.sub.n]([eta]).
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