In solving boundary-value problems by the decomposition method, we have seen that we can either retain the “constants” of integration in the u0 term for the case of linear ordinary differential equations, re-evaluating the constants as more terms of the approximate solution φ n are computed, or, we can use the u0 evaluated to satisfy the boundary conditions and add constants of integration for each successive term un.
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- 1.G. Adomian and R. Rach, Analytic Solution of Nonlinear Boundary-value Problems in Several Dimensions, J . Math. Anal. and Applic., 173, (118–137) (March 1993).Google Scholar