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Zbl 0986.65072
Wazwaz, Abdul-Majid
The numerical solution of fifth-order boundary value problems by the decomposition method.
(English)
[J] J. Comput. Appl. Math. 136, No.1-2, 259-270 (2001). ISSN 0377-0427

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 2000:
*65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE
65L20 Stability of numerical methods for ODE

Keywords: numerical examples; convergence; fifth-order boundary value problems; two-point boundary conditions; Adomian decomposition method

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