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• W2077771520 abstract "A new numeric-analytic technique is developed for two-point nonlinear boundary-value problems (BVPs) of engineering interest. The analytic part of the method is based on a conventional Adomian decomposition method (ADM). However, given a discretization of the one-dimensional domain, the present algorithm applies the ADM, repetitively over successive intervals and exploits a shooting algorithm to solve the BVPs. Apart from a very high rate of convergence as the discretization is made finer, yet another significant advantage of the method is that it provides the solution in a piecewise functional form and one can finally arrive at a continuous form of the global solution. The procedure is used to study planar, large-deflection (Elastica) problem of a cantilever beam subjected to a transverse, concentrated load, at its free end. Moreover the elastoplastic behavior of a cantilever is also studied. Comparisons with exact solutions as well as with results via a few other competing algorithms demonstrate the remarkable accuracy of the proposed method." @default.
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• W2077771520 date "2007-10-01" @default.
• W2077771520 modified "2023-09-23" @default.
• W2077771520 title "Numeric-Analytic Form of the Adomian Decomposition Method for Two-Point Boundary Value Problems in Nonlinear Mechanics" @default.
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• W2077771520 doi "https://doi.org/10.1061/(asce)0733-9399(2007)133:10(1124)" @default.
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