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The numerical solution of fifth-order boundary value problems by the decomposition method. (English) Zbl 0986.65072
Summary: We present a fast and accurate numerical scheme for the solution of fifth-order boundary value problems with two-point boundary conditions. The Adomian decomposition method and a modified form of this method are applied to construct the numerical solution. The new approach provides the solution in the form of a rapidly convergent series and not at grid points. Two numerical illustrations are given to show the pertinent features of technique.
MSC:
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
65L20Stability and convergence of numerical methods for ODE