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The numerical solution of sixth-order boundary value problems by the modified decomposition method. (English) Zbl 1023.65074
Summary: A fast and accurate algorithm is developed for the solution of sixth-order boundary value problems with two-point boundary conditions. A modified form of the Adomian decomposition method is applied to construct the numerical solution for such problems. The scheme is tested on one linear and two nonlinear problems. The results demonstrate reliability and efficiency of the algorithm developed.

MSC:
65L10Boundary value problems for ODE (numerical methods)
65L60Finite elements, Rayleigh-Ritz, Galerkin and collocation methods for ODE
34B05Linear boundary value problems for ODE
34B15Nonlinear boundary value problems for ODE
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